DOI10.1016/j.aml.2021.107161zbMath1478.78057OpenAlexW3133789907MaRDI QIDQ2233285
Xin-Yi Gao, Yong Jiang Guo, Wen-Rui Shan
Publication date: 15 October 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107161
Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics,
Bilinear form and nonlinear waves of a \((1+1)\)-dimensional generalized Boussinesq equation for the gravity waves over water surface,
Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics,
Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system,
Symbolic computation on the long gravity water waves: scaling transformations, bilinear forms, \(N\)-soliton solutions and auto-Bäcklund transformation for a variable-coefficient variant Boussinesq system,
Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain,
A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions,
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation,
Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity,
Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons,
Mock-integrability and stable solitary vortices,
\(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium,
Chimera states under genuine local coupling,
Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions,
Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects,
Optical solitons of a cubic-quartic nonlinear Schrödinger equation with parabolic law nonlinearity in optical metamaterials,
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation,
Jacobian-elliptic-function and rogue-periodic-wave solutions of a fifth-order nonlinear Schrödinger equation in an optical fiber,
Rational and semi‐rational solutions for a (3 + 1)‐dimensional generalized KP–Boussinesq equation in shallow water wave,
Certain electromagnetic waves in a ferromagnetic film,
\(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles,
A complex short pulse system in optical-fiber communications: rogue waves and phase transitions,
Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions,
Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system,
Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma,
Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics,
Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations,
Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber