\(M\)-lump, high-order breather solutions and interaction dynamics of a generalized \((2 + 1)\)-dimensional nonlinear wave equation
type: Item
instance of: scholarly article
title: \(M\)-lump, high-order breather solutions and interaction dynamics of a generalized \((2 + 1)\)-dimensional nonlinear wave equation
zbMATH Open document ID: 1516.37123
author: Zhong-Long Zhao
author: Lingchao He
published in: Nonlinear Dynamics
publication date: 2023-08-02T00:00:00Z
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7721591
zbMATH Keywords: nonlinear wave equation
zbMATH Keywords: lump solutions
zbMATH Keywords: breather solutions
zbMATH Keywords: hybrid solutions
zbMATH Keywords: solitons
MaRDI profile type: Publication
full work available at URL: s11071-020-05611-9
OpenAlex ID: W3021532679
cites work: Two-dimensional lumps in nonlinear dispersive systems
cites work: M-lump solutions to a \((3+1)\)-dimensional nonlinear evolution equation
cites work: M-lump and interactive solutions to a \((3+1)\)-dimensional nonlinear system
cites work: Dynamics of multi-breathers, N-solitons and M-lump solutions in the \((2+1)\)-dimensional KdV equation
cites work: \(N\)-lump and interaction solutions of localized waves to the \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation
cites work: High-order lumps, high-order breathers and hybrid solutions for an extended \((3+1)\)-dimensional Jimbo-Miwa equation in fluid dynamics
cites work: Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation
cites work: Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations
cites work: Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
cites work: Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
cites work: Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system
cites work: On the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
cites work: A general bilinear form to generate different wave structures of solitons for a (3+1)‐dimensional Boiti‐Leon‐Manna‐Pempinelli equation
cites work: Rational solutions of the Boussinesq equation and applications to rogue waves
cites work: A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems
cites work: Multiple lump solutions of the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
cites work: Rogue wave and multiple lump solutions of the \((2+1)\)-dimensional Benjamin-Ono equation in fluid mechanics
cites work: The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation
cites work: High-order breathers, lumps and hybrid solutions to the (2+1)-dimensional fifth-order KdV equation
cites work: General high-order breathers and rogue waves in the \((3 + 1)\)-dimensional KP-Boussinesq equation
cites work: \(N\)-solitons, breathers, lumps and rogue wave solutions to a \((3+1)\)-dimensional nonlinear evolution equation
cites work: Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid
cites work: Mixed lump-soliton solutions to the two-dimensional Toda lattice equation via symbolic computation
cites work: Dark breather waves, dark lump waves and lump wave-soliton interactions for a (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid
cites work: New interaction solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
cites work: Painlevé analysis, lump-kink solutions and localized excitation solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
cites work: Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation
cites work: Lump-stripe interaction solutions to the potential Yu-Toda-Sasa-Fukuyama equation
cites work: Interaction solutions for a dimensionally reduced Hirota bilinear equation
cites work: Evolution of breathers and interaction between high-order lump solutions and \(N\)-solitons (\(N \rightarrow \infty\)) for breaking soliton system
cites work: \(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves
cites work: Soliton molecules and mixed solutions of the (2+1)-dimensional bidirectional Sawada–Kotera equation
cites work: Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves
cites work: Soliton molecules and novel smooth positons for the complex modified KdV equation
DOI: 10.1007/S11071-020-05611-9
description: scientific article; zbMATH DE number 7721591