Exact solutions and localized structures for higher-dimensional Burgers systems

DOI10.1155/2009/539187zbMath1188.35166OpenAlexW2160800744WikidataQ58648452 ScholiaQ58648452MaRDI QIDQ963509

Yan-Ze Peng

Publication date: 20 April 2010

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226626

zbMATH Keywords

Burgers equationBäcklund transformationdromionfusion phenomenasolitoff

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) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (1)

Linearisable nonlinear partial differential equations in multidimensions

Cites Work

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• A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations
• The singular manifold method and exact periodic wave solutions to a restricted BLP dispersive long wave system
• Dromions and a boundary value problem for the Davey-Stewartson 1 equation
• Similarity reductions and Painlevé property of the coupled higher dimensional Burgers' equation
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• On three-dimensional packets of surface waves

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