Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system

From MaRDI portal
Publication:2122886

DOI10.1016/j.chaos.2020.109950zbMath1490.35314OpenAlexW3034378757MaRDI QIDQ2122886

Xin-Yi Gao, Yong Jiang Guo, Wen-Rui Shan

Publication date: 7 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.109950



Related Items

Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre, Lie-Trotter operator splitting spectral method for linear semiclassical fractional Schrödinger equation, Exact solutions of a class of nonlinear dispersive long wave systems via Feng's first integral method, Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics, Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma, Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber, Symbolic computation on a \((2+1)\)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves, Kadomtsev–Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid, Hybrid solutions of a (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation in an incompressible fluid, Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System, Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system, Comment on ``Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized \((2+1)\)-dimensional dispersive long-wave system, Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics, 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, Curved domain walls in the ferromagnetic nanostructures with Rashba and nonlinear dissipative effects, Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation, Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves, Thinking about the oceanic shallow water via a generalized Whitham-Broer-Kaup-Boussinesq-Kupershmidt system, Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics, Optical solitons and stability regions of the higher order nonlinear Schrödinger's equation in an inhomogeneous fiber, Optical dual-waves to a new dual-mode extension of a third order dispersive nonlinear Schrödinger's equation, Vector solitons for the (2 + 1)‐dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber, Soliton solutions, travelling wave solutions and conserved quantities for a three-dimensional soliton equation in plasma physics, Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics, Lump solutions to a generalized nonlinear PDE with four fourth-order terms, Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation, Breather, soliton and rogue wave of a two-component derivative nonlinear Schrödinger equation, Dual-wave of resonant nonlinear Schrödinger's dynamical equation with different nonlinearities, Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system, Analytical solutions for the coupled Hirota equations in the firebringent fiber, Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber, Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique, Geometric perspectives of the two-mode upgrade of a generalized Fisher-Burgers equation that governs the propagation of two simultaneously moving waves, Multiple-order breathers for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation near the offshore structure, Certain electromagnetic waves in a ferromagnetic film, Soliton interaction of a generalized nonlinear Schrödinger equation in an optical fiber, Bifurcation solitons and breathers for the nonlocal Boussinesq equations, Nonextensive approach to the effect of electron trapping in the presence of quantizing magnetic field on the propagation of ion acoustic waves, Investigation on the single and multiple dromions for nonlinear telegraph equation in electrical transmission line, Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix, Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations, Analytic solutions of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation, Painlevé analysis, Bäcklund transformations and traveling-wave solutions for a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation in a fluid, Traveling nonsmooth solution and conserved quantities of long nonlinear internal waves, Oceanic shallow-water symbolic computation on a \((2+1)\)-dimensional generalized dispersive long-wave system



Cites Work