Painlevé expansion and exact solution for nonlinear evolution equations

DOI10.1007/BF01017067zbMath0850.35118MaRDI QIDQ1918858

R. Sahadevan

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationLax pairPainlevé analysisPainlevé testPainlevé expansionnonintegrable equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

The effect of perturbed advection on a class of solutions of a non-linear reaction-diffusion equation ⋮ Spectral stability of one-dimensional reaction-diffusion equation with symmetric and asymmetric potential

Cites Work

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• Painlevé expansions for nonintegrable evolution equations
• Lie transformations, nonlinear evolution equations, and Painlevé forms
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Exact Solutions of Reaction-Diffusion Equation
• Deterministic Nonperiodic Flow
• Lax pairs, Backlund transformations and special solutions for ordinary differential equations

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