Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients
type: Item
instance of: scholarly article
title: Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients
zbMATH Open document ID: 1497.35413
author: Qianqian Li
author: Panpan Wang
author: Haoguang Cui
author: Wen-Rui Shan
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7443103
zbMATH Keywords: breather wave solutions
zbMATH Keywords: lump solutions
zbMATH Keywords: N-soliton solutions
zbMATH Keywords: homoclinic breather technique
zbMATH Keywords: Hirota bilinear method
zbMATH Keywords: positive quadratic function method
MaRDI profile type: Publication
full work available at URL: j.cnsns.2021.106098
OpenAlex ID: W3213241986
cites work: Nonlinear-evolution equations of physical significance
cites work: Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications
cites work: On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
cites work: Q3995225
cites work: Q4537527
cites work: Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications
cites work: Q4828547
cites work: Nonautonomous characteristics of lump solutions for a \((2 + 1)\)-dimensional Korteweg-de Vries equation with variable coefficients
cites work: Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation
cites work: New nonautonomous combined multi-wave solutions for \((2+1)\)-dimensional variable coefficients KdV equation
cites work: Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
cites work: Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation
cites work: On multi-soliton solutions for the \((2+1)\)-dimensional breaking soliton equation with variable coefficients in a graded-index waveguide
cites work: Nonautonomous ``rogons'' in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
cites work: N-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg–de Vries equation
cites work: Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation
cites work: Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation
cites work: Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation
cites work: Exact periodic kink-wave and degenerative soliton solutions for potential Kadomtsev-Petviashvili equation
cites work: Some group-invariant solutions of potential Kadomtsev-Petviashvili equation by using Lie symmetry approach
cites work: Multi-waves, breather wave and lump-stripe interaction solutions in a \((2+1)\)-dimensional variable-coefficient Korteweg-de Vries equation
cites work: Breather wave solutions for the generalized shallow water wave equation with variable coefficients in the atmosphere, rivers, lakes and oceans
cites work: Breather wave solutions for the Kadomtsev‐Petviashvili equation with variable coefficients in a fluid based on the variable‐coefficient three‐wave approach
cites work: Study of lump dynamics based on a dimensionally reduced Hirota bilinear 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: A study of lump and line rogue wave solutions to a (2+1)-dimensional nonlinear equation
cites work: A (2+1)-dimensional shallow water equation and its explicit lump solutions
cites work: Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation
cites work: \(N\)-soliton solution of a combined pKP-BKP equation
cites work: Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations
Wikidata QID: Q114196500
DOI: 10.1016/J.CNSNS.2021.106098
description: scientific article; zbMATH DE number 7443103