Frobenius integrable decompositions for ninth-order partial differential equations of specific polynomial type
type: Item
instance of: scholarly article
title: Frobenius integrable decompositions for ninth-order partial differential equations of specific polynomial type
zbMATH Open document ID: 1194.35019
author: Liang Gao
author: Wei Xu
author: Wen-Xiu Ma
published in: Applied Mathematics and Computation
publication date: 2010-07-19T00:00:00Z
Mathematics Subject Classification ID: 35A25
zbMATH DE Number: 5757534
zbMATH Keywords: Frobenius integrable decompositions
zbMATH Keywords: partial differential equations
zbMATH Keywords: differential polynomials
zbMATH Keywords: Bäcklund transformations
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: constant coefficients
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.120
OpenAlex ID: W2150138492
cites work: Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
cites work: Complexiton solutions to the Korteweg-de Vries equation
cites work: Rational solutions of the Toda lattice equation in Casoratian form
cites work: Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
cites work: Complexiton solutions to integrable equations
cites work: Q4354902
cites work: Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation
cites work: A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system
cites work: Nonsingular positon and complexiton solutions for the coupled KdV system
cites work: The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
cites work: A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation
cites work: Exact explicit travelling wave solutions for \((n+1)\)-dimensional Klein-Gordon-Zakharov equations
cites work: New families of travelling wave solutions for Boussinesq-Burgers equation and \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
cites work: Exactly fractional solutions of the \((2+1)\)-dimensional modified KP equation via some fractional transformations
cites work: EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
cites work: Partial differential equations possessing Frobenius integrable decompositions
cites work: FROBENIUS INTEGRABLE DECOMPOSITIONS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS WITH VARIABLE COEFFICIENTS
cites work: Q4692311
cites work: An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
cites work: New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations
cites work: Binary symmetry constraints of \(\mathcal N\)-wave interaction equations in \(1+1\) and \(2+1\) dimensions.
cites work: Separation of variables for soliton equations via their binary constrained flows
cites work: Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
cites work: An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher orders
DOI: 10.1016/J.AMC.2010.03.120
description: scientific article; zbMATH DE number 5757534