The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations

DOI10.1007/s11232-009-0004-8zbMath1177.35213OpenAlexW2081812373MaRDI QIDQ735679

Victor M. Zhuravlev

Publication date: 23 October 2009

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

Full work available at URL: https://doi.org/10.1007/s11232-009-0004-8

zbMATH Keywords

Burgers-type equationCole-Hopf substitutionexactly integrable nonlinear equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Generalized Cole–Hopf Transformation ⋮ Солитоны и метод обобщeнных подстановок Коула - Хопфа ⋮ Метод обобщeнных подстановок Коула - Хопфа в теории конечномерных нелинейных динамических систем

Cites Work

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• Symmetry approach to the integrability problem
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• Vector-matrix generalizations of classical integrable equations
• Method for Solving the Korteweg-deVries Equation
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• On the symmetries of evolution equations
• Integrable nonlinear evolution equations with constraints: I
• Factorization of evolution equations
• The remarkable relations among PDEs integrable by the inverse spectral transform method, by the method of characteristics and by the Hopf–Cole transformation
• Hyperbolic equations admitting differential substitutions

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