Transformation of Auto-Bäcklund Type For Hyperbolic Generalization of Burgers Equation

DOI10.1142/S1402925109000443zbMath1185.35212arXiv0709.0852WikidataQ115523014 ScholiaQ115523014MaRDI QIDQ5306084

Ekaterina Kutafina

Publication date: 29 March 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0852

zbMATH Keywords

exact solutionsauto-Bäcklund transformationhyperbolic Burgers equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Unnamed Item
• Exact travelling wave solutions of some nonlinear evolutionary equations
• A property of the ansatz of the Hirota method for quasilinear parabolic equations
• On blow-up solutions in turbulence.

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