Painlevé Classification of All Semilinear Partial Differential Equations of the Second Order. II. Parabolic and Higher Dimensional Equations

DOI10.1002/sapm199389295zbMath0807.35058OpenAlexW2462604426MaRDI QIDQ5286843

Christopher M. Cosgrove

Publication date: 1 September 1993

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

Full work available at URL: https://doi.org/10.1002/sapm199389295

zbMATH Keywords

Möbius transformationssoliton equationsgeneralization of Burgers' equationPainlevé classification

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (8)

A perturbative Painlevé approach to nonlinear differential equations ⋮ All Binomial‐Type Painlevé Equations of the Second Order and Degree Three or Higher ⋮ Lie point symmetries and ODEs passing the Painlevé test ⋮ Higher‐Order Painlevé Equations in the Polynomial Class II: Bureau Symbol P1 ⋮ Application of symmetry and singularity analyses to mathematical models of biological systems ⋮ Some properties of the Nesterenko differential sequence ⋮ On integrability of nonautonomous nonlinear Schrödinger equations ⋮ Symmetry analysis of and first integrals for the continuum Heisenberg spin chain

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