Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions
type: Item
instance of: scholarly article
title: Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions
zbMATH Open document ID: 1498.35437
author: Yanyan Li
published in: Chaos, Solitons and Fractals
publication date: 2022-11-18T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7620177
zbMATH Keywords: shallow water waves
zbMATH Keywords: (2 + 1)-dimensional Hirota-Satsuma-Ito system
zbMATH Keywords: symbolic computation
zbMATH Keywords: Hirota method
zbMATH Keywords: \(X\)-type solitons
zbMATH Keywords: resonant \(Y\)-type solitons
zbMATH Keywords: hybrid solutions
MaRDI profile type: Publication
full work available at URL: j.chaos.2022.111861
OpenAlex ID: W4220932035
cites work: Q4434450
cites work: Q4293617
cites work: Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves
cites work: Beholding the shallow water waves near an ocean beach or in a lake via a Boussinesq-Burgers system
cites work: Modulational instability in a full‐dispersion shallow water model
cites work: Q4828547
cites work: Bilinear form, soliton, breather, lump and hybrid solutions for a \((2+1)\)-dimensional Sawada-Kotera equation
cites work: Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation
cites work: Integrability, bilinearization, solitons and exact three wave solutions for a forced Korteweg-de Vries equation
cites work: A binary Darboux transformation for multicomponent NLS equations and their reductions
cites work: The Riemann–Hilbert problem to coupled nonlinear Schrödinger equation: Long-time dynamics on the half-line
cites work: Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics
cites work: Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system
cites work: Q5041485
cites work: Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique
cites work: Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber
cites work: Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber
cites work: Certain electromagnetic waves in a ferromagnetic film
cites work: Interaction of ion-acoustic solitons in two-dimensional space
cites work: Resonance Y-type soliton solutions and some new types of hybrid solutions in the (2+1)-dimensional Sawada–Kotera equation
cites work: Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models*
cites work: Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation
cites work: Complexiton solutions to the Hirota‐Satsuma‐Ito equation
cites work: The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation
cites work: Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation
cites work: Q4395060
cites work: The Structures and the Interactions of Solitons in (2+1)-Dimensional Ito’s Equation
cites work: \(M\)-lump and hybrid solutions of a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation
cites work: Q3224554
cites work: Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics
cites work: Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
DOI: 10.1016/J.CHAOS.2022.111861
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description: scientific article; zbMATH DE number 7620177