Painlevé analysis and partial integrability of a class of reaction-diffusion equations

DOI10.1016/0362-546X(92)90012-4zbMath0781.35031MaRDI QIDQ4008920

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Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

reaction-diffusion equationsPainlevé analysisFisher's equationpartial integrabilitynonlinear convective term

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Analyticity in context of PDEs (35A20)

Related Items (3)

Nonlinear Analysis ⋮ Attractors in a density-dependent diffusion-reaction model ⋮ Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions

Cites Work

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• Explicit solutions of Fisher's equation for a special wave speed
• Clines in the presence of asymmetric migration
• Painlevé expansions for nonintegrable evolution equations
• The sine-Gordon equations: Complete and partial integrability
• The Painlevé property for partial differential equations
• On classes of integrable systems and the Painlevé property
• Pattern Generation in Space and Aspect
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• Threshold Phenomena and Solitary Traveling Waves in a Class of Reaction-Diffusion Systems

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