Exact three-wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
type: Item
instance of: scholarly article
title: Exact three-wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
zbMATH Open document ID: 1393.37081
DOI: 10.1186/1687-1847-2013-321
author: Yongbin Bai
author: Hong-Cai Ma
author: Aiping Deng
published in: Advances in Difference Equations
publication date: 2018-07-17T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 6904669
zbMATH Keywords: Boiti-Leon-Manna-Pempinelli equation
zbMATH Keywords: three-soliton method
zbMATH Keywords: periodic wave
Wikidata QID: Q59302141
describes a project that uses: Maple
describes a project that uses: ATFM
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2013-321
OpenAlex ID: W2083818381
cites work: The Investigation into New Equations in (2 + 1) Dimensions
cites work: Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation
cites work: Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
cites work: Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
cites work: New higher-dimensional fifth-order nonlinear equations with multiple soliton solutions
cites work: A new (2+1)-dimensional Korteweg–de Vries equation and its extension to a new (3+1)-dimensional Kadomtsev–Petviashvili equation
cites work: Extended Gram-type determinant, wave and rational solutions to two (3+1)-dimensional nonlinear evolution equations
cites work: Q3995225
cites work: An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
cites work: Extended tanh-function method and its applications to nonlinear equations
cites work: Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
cites work: A generalized new auxiliary equation method and its applications to nonlinear partial differential equations
cites work: AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
cites work: Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
cites work: A Bäcklund transformation for a higher order Korteweg-de Vries equation
cites work: Darboux transformations in integrable systems. Theory and their applications to geometry
cites work: The new tri-function method to multiple exact solutions of nonlinear wave equations
cites work: The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
cites work: Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
cites work: Exact three-wave solutions for the KP equation
cites work: Partial differential equations possessing Frobenius integrable decompositions
cites work: A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
cites work: Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
cites work: A multiple exp-function method for nonlinear differential equations and its application
cites work: Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
cites work: Exact three-wave solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
cites work: Exact three-wave solution for higher dimensional KdV-type equation
cites work: On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
cites work: NEW SOLITARY WAVE AND JACOBI PERIODIC WAVE EXCITATIONS IN (2+1)-DIMENSIONAL BOITI–LEON–MANNA–PEMPINELLI SYSTEM
cites work: Q3641742
cites work: New exact solutions and Bäcklund transformation for Boiti-Leon-Manna-Pempinelli equation
cites work: New exact solutions for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
cites work: Classical and SUSY solutions of the Boiti–Leon–Manna–Pempinelli equation
cites work: Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti—Leon—Manna—Pempinelli Equations
cites work: Q4828547
cites work: Complexiton solutions to the Korteweg-de Vries equation
Recommended article: Q3175234
Recommended article: Exact three-wave solutions for the \((3+1)\)-dimensional Boussinesq equation
Recommended article: New exact solutions of nonlinear \((3 + 1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
Recommended article: Exact three-wave solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
Recommended article: A new approach to \((3+1)\) dimensional Boiti-Leon-Manna-Pempinelli equation
Recommended article: New non-traveling wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
Recommended article: New variable separation solutions and wave interactions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
Recommended article: Exact three-wave solutions for the KP equation
Recommended article: Exact three-wave solution for higher dimensional KdV-type equation
description: scientific article; zbMATH DE number 6904669