Invariant subspace classification and exact solutions to the generalized nonlinear D-C equation

DOI10.1016/J.AML.2018.03.032OpenAlexW2798264632WikidataQ130039999 ScholiaQ130039999MaRDI QIDQ1644160

Hanze Liu

Publication date: 21 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.032

zbMATH Keywords

exact solutioninvariant subspace methodnonlinear diffusion-convection equationinvariant subspace classification

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Soliton solutions (35C08) Fractional partial differential equations (35R11)

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Cites Work

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• Exact solution of certain time fractional nonlinear partial differential equations
• New maximal dimension of invariant subspaces to coupled systems with two-component equations
• A refined invariant subspace method and applications to evolution equations
• Classification of coupled systems with two-component nonlinear diffusion equations by the invariant subspace method

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