A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions

DOI10.1080/14029251.2014.894726zbMath1420.35072OpenAlexW1971482141MaRDI QIDQ5230940

Wen-Xiu Ma, Yujian Ye, Dan-Da Zhang, Shou-feng Shen

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2014.894726

zbMATH Keywords

evolution equationinvariant subspacereductiondynamical systemseparation of variables

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20)

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Uses Software

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• Differential constraints and exact solutions of nonlinear diffusion equations
• Nonlinear interaction of traveling waves of nonintegrable equations
• Conditional Lie-Backlund symmetry and reduction of evolution equations
• Maximal dimension of invariant subspaces admitted by nonlinear vector differential operators
• Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems

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