The Painlevé analysis and exact travelling wave solutions to nonlinear partial differential equations

DOI10.1016/0895-7177(93)90224-MzbMath0806.35171OpenAlexW2065204268MaRDI QIDQ1324740

M. Vlieg-Hulstman

Publication date: 26 May 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90224-m

zbMATH Keywords

Painlevé propertycompatibility conditionBäcklund transformation

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) Solutions to PDEs in closed form (35C05)

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Cites Work

• Similarity solutions for nonlinear diffusion - A new integration procedure
• The Painlevé property for partial differential equations
• On classes of integrable systems and the Painlevé property
• Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation
• Bäcklund transformation and the Painlevé property