New rational solitary wave solutions of \((2+1)\)-dimensional Burgers equation
type: Item
instance of: scholarly article
title: New rational solitary wave solutions of \((2+1)\)-dimensional Burgers equation
zbMATH Open document ID: 1111.35320
author: Hong-Yan Zhi
author: Hong-Qing Zhang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-04-19T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K20
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 5144891
zbMATH Keywords: direct Ansatz method
zbMATH Keywords: rational solitary wave solutions
zbMATH Keywords: rational periodic solutions
describes a project that uses: MACSYMA
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: j.na.2006.03.017
OpenAlex ID: W2001228192
cites work: The inverse scattering transform: Semi-infinite interval
cites work: Q4002235
cites work: Darboux transforms, deep reductions and solitons
cites work: Darboux transformation and solutions for an equation in 2+1 dimensions
cites work: delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation
cites work: A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations.
cites work: The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
cites work: Q4303160
cites work: Algebro-geometric solutions of the Harry Dym equation
cites work: Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable
cites work: Symmetries and differential equations
cites work: On a further extended tanh method
cites work: New Exact Solutions to (2+1)-Dimensional Dispersive Long Wave Equations
cites work: New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
cites work: A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
DOI: 10.1016/J.NA.2006.03.017
Recommended article: New exact soliton-like solutions and special soliton-like structures of the \((2+1)\)-dimensional Burgers equation
Recommended article: New solitary wave solutions to the KdV-Burgers equation
Recommended article: Q3529974
Recommended article: New solitary wave solutions of \((2+1)\)-dimensional space-time fractional Burgers equation and Korteweg-de Vries equation
Recommended article: Q5413508
Recommended article: Q5367811
Recommended article: Q3381800
Recommended article: Some New Solitary Wave Solutions to a Compound KdV-Burgers Equation
Recommended article: Soliton solution for the two-dimensional Burgers' equations
Recommended article: Novel soliton-like and multi-solitary wave solutions of \((3+1)\)-dimensional Burgers equation
description: scientific article; zbMATH DE number 5144891