Article
Mathematics, Interdisciplinary Applications
Sheng-Xiong Yang, Yu-Feng Wang, Xi Zhang
Summary: This paper investigates the N-coupled nonautonomous Gross-Pitaevskii equations, which describe the dynamics of the Bose-Einstein condensates. Using the Lax pair, infinitely-many conservation laws and Mth-fold Darboux transformation are constructed. Three types of nonautonomous localized waves are obtained via the Darboux transformation. The nonautonomous bound-state soliton is observed, and the profile and energy distribution of the nonautonomous breather and rogue wave are shown. The influences of coefficients for the shape and position of the background wave are discussed. Additionally, the interactions between the three types of nonautonomous localized waves are analyzed graphically.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Mechanical
Tong Zhou, Hai-qiong Zhao
Summary: A study on a nonlocal matrix nonlinear Schrodinger equation with self-induced parity-time (PT) symmetric potentials and its Darboux transformation is presented. Various types of solutions are obtained by choosing different spectral parameters and seed solutions, including soliton solutions, dark-antidark soliton solutions, breather-like solutions, periodic-like solutions, exact solutions describing the onset and nonlinear development of modulational instability of continuous wave states, and rational solutions. Additionally, infinite conservation laws are derived.
NONLINEAR DYNAMICS
(2023)
Article
Physics, Multidisciplinary
Folkert Mueller-Hoissen
Summary: Using bidifferential calculus, we derive a vectorial binary Darboux transformation for the first member of the 'negative' part of the AKNS hierarchy. A reduction leads to the first 'negative flow' of the NLS hierarchy, which in turn is a reduction of a rather simple nonlinear complex PDE in two dimensions, with a leading mixed third derivative. This PDE may be regarded as describing geometric dynamics of a complex scalar field in one dimension, since it is invariant under coordinate transformations in one of the two independent variables. We exploit the correspondingly reduced vectorial binary Darboux transformation to generate multi-soliton solutions of the PDE, also with additional rational dependence on the independent variables, and on a plane wave background. This includes rogue waves.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Mathematics, Applied
Jing-Jing Su, Bo Ruan
Summary: This paper introduces a pseudo-symmetry hypothesis and presents the N-fold binary Darboux transformation in a unified form. By applying this transformation, high-order analytical solutions of certain nonlinear evolution equations can be obtained, with the example of the AB system illustrating the Nth-order solitons. The results obtained are expected to be beneficial for the development of computation algorithms for solving nonlinear evolution equations.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Mathematics, Applied
Xiangpeng Xin, Yutang Liu, Yarong Xia, Hanze Liu
Summary: This paper investigates for the first time the integrable nonlocal couplings of Ablowitz-Kaup-Newell-Segur (NC-AKNS) equations. With the help of symmetry reduction method, the NC-AKNS equations are constructed, showing that this method can not only construct a single nonlocal equation, but also a set of equations. The Darboux transformation method is used to study the exact solutions of these nonlocal equations, resulting in a 1-fold Darboux transformation and the construction of two types of soliton solutions.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Optics
Sudipta Nandy, Gautam K. Saharia, Sagardeep Talukdar, Riki Dutta, Rahul Mahanta
Summary: This study investigates the hierarchies of nonautonomous Nonlinear Schrodinger equation (NLSE), presenting soliton solutions and reversible transformations. Crucial differences between even and odd order hierarchies are analyzed, with constraints identified among dispersion and nonlinear coefficients. The findings offer a universal mathematical platform for studying diverse physical systems.
Article
Mathematics, Interdisciplinary Applications
Dan-Yu Yang, Bo Tian, He-Yuan Tian, Cheng-Cheng Wei, Wen-Rui Shan, Yan Jiang
Summary: This study investigates an M-coupled variable-coefficient nonlinear Schrödinger system in an optical fiber communication system, and obtains localized wave solutions and explores the interactions between gray solitons and breathers under different conditions.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Yuan Shen, Bo Tian, Tian -Yu Zhou, Xiao-Tian Gao
Summary: This paper investigates nonlinear differential-difference equations that appear in optics, condensed matter physics, plasma physics, and other fields. The authors analyze a specific nonlinear differential-difference hierarchy and obtain the Lax pair and conservation laws under specific conditions. The explicit exact solutions and graphical representations of the equation in certain cases are also explored.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Tao Xu, Zhijun Qiao
Summary: In this paper, a three-component modified nonlinear Schrodinger equation is studied, and the main results include Lax pair and infinitely-many conservation laws, modulation instability of continuous waves, semi-rational solutions obtained through the Darboux transformation, and four new types of mixed semi-rational solutions provided for the three components q1, q2, and q3.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Multidisciplinary Sciences
Sheng Zhang, Feng Zhu, Bo Xu
Summary: This article illustrates the feasibility of extending the Darboux transformation (DT) and generalized DT (GDT) methods to construct solitary wave solutions for fractional integrable systems using the coupled nonlinear Schrodinger (CNLS) equations as an example. The study found that the symmetric solitary wave solutions of the integer-order CNLS equations exhibit asymmetry in the fractional order case.
Article
Physics, Applied
Mao Jin-Jin, Cheng Wenguang, Shi Lin-Fei, Xu Tian-Zhou
Summary: This paper mainly focuses on the study of the vector Lakshmanan-Porsezian-Daniel (vLPD) equations, constructing the Darboux-dressing transformation (DDT) and infinitely-many conservation laws through the Lax pair. Additionally, one soliton and bound-state solitons solutions are obtained using the DDT method, with the resulting graphs providing a direct reflection of the dynamic behavior of these solutions.
MODERN PHYSICS LETTERS B
(2021)
Article
Engineering, Mechanical
Jie Jin, Yi Zhang, Rusuo Ye, Lifei Wu
Summary: The coupled mixed derivative nonlinear Schrodinger equations, correlated with Lax pairs involving 3 x 3 matrices, have been studied and various types of solutions have been obtained using the Darboux transformation. The results have significant implications for understanding integrable systems in different physical contexts.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Mechanical
Yu-Shan Bai, Li-Na Zheng, Wen-Xiu Ma
Summary: This paper constructs a generalized Darboux transformation for multicomponent nonlinear Schrodinger equations, resulting in N th-order rogue wave solutions. Two illustrative examples of three-component and six-component NLS equations are provided, showcasing various solutions including rogue wave solutions and interaction solutions.
NONLINEAR DYNAMICS
(2021)
Article
Physics, Mathematical
Fangcheng Fan, Weikang Xie
Summary: This paper investigates a more general discrete 2 x 2 matrix spectral problem and constructs positive and negative integrable lattice hierarchies. By considering linear combinations of these hierarchies, a more general integrable lattice hierarchy is obtained. Various local and nonlocal integrable lattice equations are derived and conservation laws and Darboux transformation are established.
REVIEWS IN MATHEMATICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Z. Amjad, D. Khan
Summary: In this study, a binary Darboux transformation for a negative-order AKNS equation is examined. By iterating the transformation, N-fold quasi-Grammian solutions expressed in terms of quasideterminants are obtained. In some simple cases, explicit solutions of the studied equation are constructed, including bright and dark breathers, a soliton, and solutions with one or two humps.
THEORETICAL AND MATHEMATICAL PHYSICS
(2021)
Article
Mathematics, Applied
Yuan Li, Dun Zhao, Qingxuan Wang
Summary: This article proves the stability of traveling wave solution for the Cauchy problem of the half-wave equation with critical combined nonlinearities.
APPLICABLE ANALYSIS
(2022)
Article
Physics, Multidisciplinary
YongXi Cheng, ZhenHua Li, Xiao Zheng, JianHua Wei, Hong-Gang Luo, Hai-Qing Lin, YiJing Yan
Summary: The Kondo effect associated with the magnetic field in parallel-coupled double quantum dots is investigated using the hierarchical-equation-of-motion approach. It is found that a zero-energy resonance peak appears at a specific magnetic field, indicating the presence of a spin-1/2 Kondo resonance.
ANNALEN DER PHYSIK
(2022)
Article
Physics, Condensed Matter
ZhenHua Li, YongXi Cheng, Xiao Zheng, JianHua Wei, YiJing Yan, Hong-Gang Luo
Summary: In this study, we numerically calculate the local density of states (LDOS) in the asymmetric Anderson model in the mixed valence regime using the hierarchical equations of motion approach. By performing a fitting, we obtain the Kondo temperatures and Fano factors with changing the single particle energy. Our study shows that the Fano-Kondo resonance can reasonably explain the asymmetric line shape of the LDOS around the Fermi level.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2022)
Article
Nanoscience & Nanotechnology
ZhenHua Li, Shuiquan Deng, Myung-Hwan Whangbo, Hong-Gang Luo
Summary: The development in materials science and pharmaceutics reveals the significance of key materials genomes in governing material properties. This study presents an innovative method based on projecting atomic orbitals' wavefunction, which can be widely used to identify various properties of materials genomes, with a specific focus on optical properties.
Article
Physics, Multidisciplinary
Yun-Tong Yang, Hong-Gang Luo
Summary: Recently, the experimentally verified superradiant phase transition in the quantum Rabi model (QRM) has sparked further interest in studying the phase transition process and nature of the superradiant phase. A proposed scheme involving two successive diagonalizations accurately obtains the ground-state and excited states wavefunctions of the QRM across its entire parameter range. Analysis reveals that the photon populations follow Poissonian-like and Gaussian unitary ensemble statistics during the phase transition and with increasing coupling strength, respectively. Our results deepen understanding of the superradiant phase transition and shed light on the nature of the superradiant phase.
CHINESE PHYSICS LETTERS
(2023)
Article
Chemistry, Physical
Honggang Luo, Xin Zhao, Tong Zhang, Rongrong Si, Xuzhong Gong, Changwei Li, Fangong Kong, Yu Liu, Jianchun Jiang, Honglei Chen
Summary: An ingenious hierarchical self-supporting wood-based carbon electrocatalyst is developed to improve the efficiency and stability of hydrogen evolution at large current density. The wood-carbon framework with open microchannels achieves efficient mass transfer and overall stability of the electrode under long-term high current density. Metal-organic framework derived cobalt-nickel Metal bridges (Co, Ni-N-C) facilitate the tight interfacial bonding of wood and nickel-cobalt binary alloy nano-particles, thereby enhancing the hydrogen evolution reaction (HER) performance and superior durability.
INTERNATIONAL JOURNAL OF HYDROGEN ENERGY
(2023)
Article
Physics, Multidisciplinary
Ken Chen, Qiang Luo, Zongsheng Zhou, Saisai He, Bin Xi, Chenglong Jia, Hong-Gang Luo, Jize Zhao
Summary: Skyrmions, due to their robustness against local deformations, are considered a promising candidate for future spintronics applications. In this study, we numerically investigate a classical Kitaev-Gamma model with a single-ion anisotropy, and discover an exotic spin texture consisting of three merons. The presence of an odd number of merons in one magnetic unit cell is found to be a unique property of this state, and its origin is briefly discussed. Furthermore, we demonstrate that these three merons contribute a finite topological number and can induce a topological Hall effect, which can be observed experimentally using Lorentz transmission electron microscopy. Our work highlights the potential of high-spin Kitaev magnets as a versatile platform for studying exotic spin textures and their applications in spintronics.
NEW JOURNAL OF PHYSICS
(2023)
Article
Biochemistry & Molecular Biology
Rongrong Si, Honggang Luo, Tao Zhang, Junwen Pu
Summary: In this study, ultralight yet highly adsorptive cellulose nanofiber/chitosan-based aerogels were efficiently prepared using a high-crystallinity metal framework material (ZIF-8) and a freeze-drying approach. The aerogels exhibited a hydrophobic surface and had low density, high porosity, and excellent adsorption and cyclic stability towards organic solvents. Additionally, the aerogels showed great oil removal and separation performance in various oil/water mixtures, making them promising for oily water pollution treatment.
INTERNATIONAL JOURNAL OF BIOLOGICAL MACROMOLECULES
(2023)
Article
Materials Science, Multidisciplinary
Shi-Nan Chen, Jin-Hua Sun, Zhen-Hua Wang, Wei Su, Dong-Hui Xu, Hong-Gang Luo, Lin Li
Summary: We investigate the Kondo effect in type-II Ising superconductors with a single magnetic impurity. The type-II Ising spin-orbit coupling in these materials generates out-of-plane effective Zeeman fields, protecting interorbital superconducting pairing states against in-plane magnetic fields. The behavior of spin-induced Yu-Shiba-Rusinov bound states and low-temperature magnetic susceptibility shows that the spin-orbit coupling suppresses the Kondo screening of the magnetic moment.
Article
Materials Science, Multidisciplinary
Yang Liu, Z. Y. Xie, Hong-Gang Luo, Jize Zhao
Summary: Using the tensor-network state algorithm, we investigated a spin-orbital model with SU(2) x SU(2) x U(1) symmetry on the triangular lattice. Contrary to previous conjectures, we found that the two SU(2) symmetries are broken, leading to a stripe spin-orbital order. Our result suggests that high-symmetry spin-orbital models hold promise for the search for exotic states of matter in condensed-matter physics.
Article
Materials Science, Multidisciplinary
ZhenHua Li, Zhi-Ming Yu, JianHua Wei, Hong-Gang Luo
Summary: This paper investigates the properties of three different antiferromagnetic orders in the bilayer structure of CrI3 using symmetry analysis and first-principles calculations. The results show that both A-type and C-type antiferromagnetic orders exhibit significant SHG effects, while the SHG effect vanishes for G-type antiferromagnetic order. The SHG components of A-type and C-type antiferromagnetic orders are mutually exclusive and sensitive to the spin-orbit coupling effect.
Article
Materials Science, Multidisciplinary
Wei-Wei Yang, Qiaoni Chen, Hong-Gang Luo, Yin Zhong
Summary: Luttinger's theorem, a key feature of Landau's Fermi liquid, is violated in the Falicov-Kimball model, revealing a robust correlation-driven non-Fermi-liquid characteristic. The introduction of hole carriers leads to a Mott insulator-metal transition in the half-filled FK model, displaying unconventional scaling behavior in transport properties. Combining the Hubbard-I approximation with a composite fermion picture provides further insight on the violation, emphasizing the importance of a mixed excitation of the itinerant electron and the composite fermion. Comparison with a binary disorder system suggests that the violation of Luttinger's theorem is rooted in the two-peak band structure discovered by Monte Carlo and Hubbard-I approaches.
Article
Materials Science, Multidisciplinary
Yong-Feng Yang, Jing Chen, Chen Cheng, Hong-Gang Luo
Summary: In this study, we numerically investigate the ground state of the extended t-J Hamiltonian with periodic local modulations in one dimension. We obtain a rich ground-state phase diagram and observe enhanced superconductivity and nontrivial topological properties.
Article
Physics, Multidisciplinary
Xiao Zhang, Tao Zhu, Hongchuan Du, Hong-Gang Luo, Jeroen van den Brink, Rajyavardhan Ray
Summary: The study of high-harmonic generation in confined quantum systems is crucial for understanding harmonic generation from atoms and molecules to bulk solids. In this study, we demonstrate how intraband resonances significantly influence harmonic spectra and redefine the cutoff laws. By considering the interaction of graphene nanoribbons, we observe the cascade resonance effect which is completely different from the harmonic generation mechanism in other systems. This study provides additional insights into solid-state high-harmonic generation.
PHYSICAL REVIEW RESEARCH
(2022)
Article
Materials Science, Multidisciplinary
Qian Li, Hong Li, Jize Zhao, Hong-Gang Luo, Z. Y. Xie
Summary: After decades of debate, a rough consensus has been reached on the properties of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice, suggesting the existence of a three-sublattice 120 degrees magnetic order at zero temperature. However, there are significant discrepancies in the reported magnetization values. In this study, the tensor-network state algorithm is used to revisit this model and obtain benchmark results for the ground-state energy and magnetization.
