Integrable decompositions for the \((2+1)\)-dimensional Gardner equation

DOI10.1007/s00033-009-0017-zzbMath1192.35144OpenAlexW2066834343MaRDI QIDQ980827

Tao Xu, Bo Tian, Hai-Qiang Zhang, Juan Li

Publication date: 29 June 2010

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-009-0017-z

zbMATH Keywords

symbolic computationDarboux transformation\((2+1)\)-dimensional Gardner equationintegrable decompositionsnonlinearization technique

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Soliton solutions (35C08)

Related Items (8)

Determinant structure for the \({(2 + 1)}\)-dimensional dispersive long wave system ⋮ Breather-type and multi-wave solutions for \(( 2 + 1 )\)-dimensional nonlocal Gardner equation ⋮ Transverse spectral instabilities in Konopelchenko–Dubrovsky equation ⋮ Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms ⋮ Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation ⋮ Solitons and (semi-)rational solutions for the (2+1)-dimensional Gardner equation ⋮ Integrability study on a generalized (2+1)-dimensional variable-coefficient Gardner model with symbolic computation ⋮ Dynamics of an integrable Kadomtsev-Petviashvili-based system

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