Article
Physics, Multidisciplinary
Thibault Bonnemain, Benjamin Doyon, Gennady El
Summary: We establish the correspondence between soliton gases in classical integrable dispersive hydrodynamics and generalized hydrodynamics (GHD), and predict various physical quantities for the soliton gas by constructing the GHD description for the Korteweg-de Vries equation. We validate these predictions by numerical simulations and propose conjectured dynamical correlation functions for the soliton gas based on GHD results.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Mathematics, Applied
Xi -Hu Wu, Yi-Tian Gao
Summary: This paper investigates the Ablowitz-Ladik equation that describes an electrical lattice. A generalized Darboux transformation is constructed for the complex field amplitude of the lattice, involving multiple spectral parameters. The expressions of one-soliton solutions are derived and the characteristics of solitons, including velocities, amplitudes, and widths, are presented. The interactions among solitons, degenerate solitons, and a combination of solitons and degenerate solitons are examined. The findings reveal that corrugated regions are generated in the interaction areas of multi-solitons and elastic interactions occur between a single soliton and degenerate solitons.
APPLIED MATHEMATICS LETTERS
(2023)
Article
Mathematics, Applied
Efim Pelinovsky, Tatiana Talipova, Tarmo Soomere
Summary: The study analyzes the main properties of soliton solutions to the generalized KdV equation under different conditions, showing that solitons exhibit different behaviors depending on the values of q and alpha.
PHYSICA D-NONLINEAR PHENOMENA
(2021)
Article
Mechanics
Isabelle Bouchoule, Jerome Dubail
Summary: This article reviews the recent progress in the generalized hydrodynamics (GHD) behavior of the one-dimensional Bose gas with contact repulsive interactions, known as the Lieb-Liniger gas. The theory and key concepts of the Lieb-Liniger gas, including rapidities and rapidity distribution, are introduced. The asymptotic regimes and approximate descriptions of the Lieb-Liniger gas are presented. Experimental results in cold atom experiments, including the realization of the Lieb-Liniger model and tests of the GHD theory, are discussed. The effects of atom losses and some open questions are also reviewed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Engineering, Mechanical
M. Kirane, S. Stalin, M. Lakshmanan
Summary: This paper considers a generalized system that describes the nonlinear interaction between a shortwave and a long-wave in fluid dynamics, plasma physics, and nonlinear optics. Using the Hirota bilinear method, the paper derives the general N-bright and N-dark soliton solutions and their corresponding properties. The paper also explores the elastic collision and resonance interactions between the solitons.
NONLINEAR DYNAMICS
(2022)
Article
Physics, Multidisciplinary
Frederik Moller, Chen Li, Igor Mazets, Hans-Peter Stimming, Tianwei Zhou, Zijie Zhu, Xuzong Chen, Jorg Schmiedmayer
Summary: In this study, integrability breaking in cold gas experiments is addressed by extending the integrable hydrodynamics of the Lieb-Liniger model with two additional components representing the population of atoms in excited states. The extended model accounts for collisions between different components, capturing the thermalization of the condensate at a rate consistent with experimental observations. This model is in contrast to standard generalized hydrodynamics and provides a more accurate description of the thermalization process in quasi-1D condensates.
PHYSICAL REVIEW LETTERS
(2021)
Article
Optics
Jie Luan, Philip St. J. Russell, David Novoa
Summary: We successfully achieved self-compression of near-UV pulses using numerical modeling of nonlinear pulse dynamics in the fiber. The experimental results demonstrate the significance of this technique for time-resolved studies in spectroscopy, chemistry, and materials science.
PHOTONICS RESEARCH
(2022)
Article
Multidisciplinary Sciences
Michele Fava, Sounak Biswas, Sarang Gopalakrishnan, Romain Vasseur, S. A. Parameswaran
Summary: The study establishes a formalism for computing the nonlinear response of interacting integrable systems, showing results that are asymptotically exact in the hydrodynamic limit. Spatially resolved nonlinear responses can distinguish interacting integrable systems from noninteracting ones, with a method for computing finite-temperature Drude weights and identifying nonperturbative regimes of the nonlinear response.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Mathematics, Interdisciplinary Applications
Xi-Hu Wu, Yi-Tian Gao, Xin Yu, Cui-Cui Ding, Liu-Qing Li
Summary: In this paper, a Lakshmanan-Porsezian-Daniel equation describing the nonlinear spin excitations in a (1+1)-dimensional isotropic biquadratic Heisenberg ferromagnetic spin chain is investigated. The semirational solutions of the equation are discussed, including degenerate soliton solutions, interaction solutions among solitons and degenerate solitons, and bound state solutions among a set of degenerate solitons.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Multidisciplinary
Sheng-Xiong Yang, Yu-Feng Wang, Xi Zhang
Summary: This paper investigates a generalized discrete Hirota equation and constructs the Nth-fold Darboux transformation based on Lax pair. It obtains and analyzes the solutions for one- and two-breathers. The first- and second-order rogue wave solutions are derived and investigated, including discussion on the influences of parameters. Additionally, the interaction solutions between rogue wave and one breather are constructed and studied.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Mathematics, Applied
Jian-Gen Liu, Xiao-Jun Yang, Yi-Ying Feng, Ping Cui
Summary: This article investigates a generalized (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation, commonly used in fluid dynamics to describe nonlinear phenomena. Multiple wave solutions are constructed using the linear superposition principle, and the parameters of the model are examined for their impact on the wave solutions. Rational and rogue wave solutions are generated using a polynomial function with zero and nonzero parameters, respectively. The obtained results are graphically demonstrated to illustrate the nonlinear dynamics of the wave solutions in fluid mechanics.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2022)
Article
Mathematics, Applied
Xianguo Geng, Yihao Li, Jiao Wei, Yunyun Zhai
Summary: The paper investigates the Darboux transformation for a two-component generalized Sasa-Satsuma equation associated with a 4 x 4 matrix spectral problem, obtaining various interesting solutions through applications of the transformation and limit technique. These solutions, including traveling soliton solutions, breather soliton solutions, and rogue wave solutions, are explicitly obtained and graphically illustrated.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Physics, Multidisciplinary
Bruno Bertini, Fabian H. L. Essler, Etienne Granet
Summary: In this study, we investigate fermions on a continuous one-dimensional interval subjected to weak repulsive two-body interactions. We demonstrate the possibility of perturbatively constructing an extensive number of mutually compatible conserved charges for any interaction potential. The densities of these charges at higher orders are generally nonlocal and only become spatially localized under certain compatibility conditions. We prove that the Cheon-Shigehara potential (fermionic dual to the Lieb-Liniger model) and the Calogero-Sutherland potentials are the only solutions to the first of these conditions. We utilize our construction to show the emergence of generalized hydrodynamics from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy and argue for the robustness of generalized hydrodynamics under nonintegrable perturbations in the weak interaction regime.
PHYSICAL REVIEW LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Kottakkaran Sooppy Nisar, Khalid K. Ali, Mustafa Inc, M. S. Mehanna, Hadi Rezazadeh, Lanre Akinyemi
Summary: In this study, new solutions to the resonant nonlinear Schrodinger's equation are obtained using the Bernoulli sub-ODE method and the (G '/G)-expansion method. The results are illustrated with graphs.
RESULTS IN PHYSICS
(2022)
Article
Mathematics, Applied
Mehraj Ahmad Lone, Idrees Fayaz Harry
Summary: In this paper, we study Lorentzian generalized Sasakian space forms admitting Ricci soliton, conformal gradient Ricci soliton, and Ricci Yamabe soliton. We also investigate the conditions for solitons to be steady, shrinking, and expanding. Additionally, we provide applications of Ricci Yamabe solitons.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Olalla A. Castro-Alvaredo, Benjamin Doyon, Takato Yoshimura
Article
Physics, Multidisciplinary
Benjamin Doyon, Jerome Dubail, Robert Konik, Takato Yoshimura
PHYSICAL REVIEW LETTERS
(2017)
Article
Physics, Particles & Fields
Benjamin Doyon, Herbert Spohn, Takato Yoshimura
Article
Physics, Multidisciplinary
Takato Yoshimura
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2018)
Article
Physics, Multidisciplinary
Takato Yoshimura, Herbert Spohn
Article
Physics, Multidisciplinary
Marko Medenjak, Jacopo De Nardis, Takato Yoshimura
Article
Physics, Multidisciplinary
Marko Medenjak, Giuseppe Policastro, Takato Yoshimura
Summary: This study examines the out-of-equilibrium transport in T(T) over bar -deformed (1 + 1)-dimensional conformal field theories, utilizing integrability and holography to compute transport quantities. The results from both methods are in perfect agreement, confirming the T(T) over bar -deformed holographic correspondence. Additionally, integrability allows for the computation of momentum diffusion, revealing a universal formula and an intriguing connection to reversible cellular automata within T(T) over bar -deformed CFTs.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Benjamin Doyon, Joseph Durnin, Takato Yoshimura
Summary: We extend the generalised T(T) over bar-deformation model to include the complete set of extensive charges. The results show that this model can generate deformations of S-matrices beyond the traditional factors and can have arbitrary functional dependence on momenta. Additionally, we derive the flow equations for free energy and all free energy fluxes from basic principles, which demonstrates that the thermodynamics of the deformed models can be described by integral equations of the thermodynamic Bethe-Ansatz.
Article
Astronomy & Astrophysics
Marko Medenjak, Giuseppe Policastro, Takato Yoshimura
Summary: This paper explores the energy and momentum transport in (1 + 1)-dimensional conformal field theories deformed by an irrelevant operator T (T) over bar, using integrability-based generalized hydrodynamics and holography. The analysis uncovers universal formulae for these quantities regardless of the specific CFT, extending the understanding of deformed CFTs and confirming the correspondence between T (T) over bar -deformed CFTs and reversible cellular automata.
Article
Physics, Multidisciplinary
Jean-Sebastien Caux, Benjamin Doyon, Jerome Dubail, Robert Konik, Takato Yoshimura
Article
Physics, Multidisciplinary
Dinh-Long Vu, Takato Yoshimura
Article
Physics, Multidisciplinary
Benjamin Doyon, Takato Yoshimura