N-fold generalized Darboux transformation and asymptotic analysis of the degenerate solitons for the Sasa-Satsuma equation in fluid dynamics and nonlinear optics

Bilinear form and Pfaffian solutions for a (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt system in fluid mechanics and plasma physics

(2023) Chong-Dong Cheng et al.   NONLINEAR DYNAMICS

Pfaffian solutions and nonlinear waves of a (3 + 1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt system in fluid mechanics

(2023) Yuan Shen et al.   PHYSICS OF FLUIDS

Lump and hybrid solutions for a (3+1)-dimensional Boussinesq-type equation for the gravity waves over a water surface

(2023) Chun-Hui Feng et al.   CHINESE JOURNAL OF PHYSICS

Wronskian solutions and Pfaffianization for a (3 + 1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili equation in a fluid or plasma

(2023) Chong-Dong Cheng et al.   PHYSICS OF FLUIDS

N-Fold generalized Darboux transformation and semirational solutions for the Gerdjikov-Ivanov equation for the Alfvén waves in a plasma

(2022) Su-Su Chen et al.   NONLINEAR DYNAMICS

Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (21)-dimensional generalized Burgers system with the variable coefficients in a fluid

(2022) Tian-Yu Zhou et al.   NONLINEAR DYNAMICS

Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber

(2022) Dan-Yu Yang et al.   CHAOS SOLITONS & FRACTALS

Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves

(2022) Fei-Yan Liu et al.   NONLINEAR DYNAMICS

Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time-dependent coefficients

(2022) Yuan Shen et al.   NONLINEAR DYNAMICS

Auto-Bäcklund transformations, bilinear forms, multiple-soliton, quasi-soliton and hybrid solutions of a (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in an electron-positron plasma

(2022) Tian-Yu Zhou et al.   European Physical Journal Plus

Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System

(2022) Xiao-Tian Gao et al.   Qualitative Theory of Dynamical Systems

Lie group analysis for a higher-order Boussinesq-Burgers system

(2022) Fei-Yan Liu et al.   APPLIED MATHEMATICS LETTERS

Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system

(2022) Xin-Yi Gao et al.   APPLIED MATHEMATICS LETTERS

Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended (3+1)-dimensional nonlinear Schrödinger equation in an optical fiber

(2022) Tian-Yu Zhou et al.   APPLIED MATHEMATICS LETTERS

N-fold Darboux transformation and solitonic interactions for the Kraenkel–Manna–Merle system in a saturated ferromagnetic material

(2022) Yuan Shen et al.   NONLINEAR DYNAMICS

Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation

(2022) Xi-Hu Wu et al.   WAVE MOTION

Vector breathers, rogue and breather-rogue waves for a coupled mixed derivative nonlinear Schrödinger system in an optical fiber

(2022) Xi-Hu Wu et al.   NONLINEAR DYNAMICS

Symbolically Computing the Shallow Water via a (2+1)-Dimensional Generalized Modified Dispersive Water-Wave System: Similarity Reductions, Scaling and Hetero-Bäcklund Transformations

(2022) Xin-Yi Gao et al.   Qualitative Theory of Dynamical Systems

Comment on “In oceanography, acoustics and hydrodynamics: An extended coupled (2+1)-dimensional Burgers system”[Chin. J. Phys. 70, 264 (2021)]

(2021) Xiao-Tian Gao et al.   CHINESE JOURNAL OF PHYSICS

Conservation laws and breather-to-soliton transition for a variable-coefficient modified Hirota equation in an inhomogeneous optical fiber

(2021) Dan-Yu Yang et al.   Waves in Random and Complex Media

Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system

(2021) Xiao-Tian Gao et al.   APPLIED MATHEMATICS LETTERS

Multi-pole solutions and their asymptotic analysis of the focusing Ablowitz-Ladik equation

(2019) Min Li et al.   PHYSICA SCRIPTA

Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure

(2018) T. Congy et al.   STUDIES IN APPLIED MATHEMATICS

High-order soliton matrices for Sasa–Satsuma equation via local Riemann–Hilbert problem

(2018) Bo Yang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Higher-order semirational solutions and nonlinear wave interactions for a derivative nonlinear Schrödinger equation

(2016) Lei Wang et al.   Communications in Nonlinear Science and Numerical Simulation

The nonlinear Schrödinger equation and the propagation of weakly nonlinear waves in optical fibers and on the water surface

(2015) A. Chabchoub et al.   ANNALS OF PHYSICS

Anti-dark and Mexican-hat solitons in the Sasa-Satsuma equation on the continuous wave background

(2015) Tao Xu et al.   EPL

Binary Darboux transformation for the Sasa–Satsuma equation

(2015) Jonathan J C Nimmo et al.   Journal of Physics A-Mathematical and Theoretical

Soliton and breather solutions of the Sasa–Satsuma equation via the Darboux transformation

(2014) Tao Xu et al.   PHYSICA SCRIPTA

Rational W-shaped solitons on a continuous-wave background in the Sasa-Satsuma equation

(2014) Li-Chen Zhao et al.   PHYSICAL REVIEW E

Rogue waves of the Sasa-Satsuma equation in a chaotic wave field

(2014) J. M. Soto-Crespo et al.   PHYSICAL REVIEW E

Twisted rogue-wave pairs in the Sasa-Satsuma equation

(2013) Shihua Chen   PHYSICAL REVIEW E

Sasa-Satsuma equation: Soliton on a background and its limiting cases

(2012) U. Bandelow et al.   PHYSICAL REVIEW E

Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation

(2012) Yongsheng Tao et al.   PHYSICAL REVIEW E

Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

(2012) Boling Guo et al.   PHYSICAL REVIEW E