Exact periodic and solitary waves and their interactions for the \((2+1)\)-dimensional KdV equation

DOI10.1016/j.physleta.2005.10.061zbMath1234.35229OpenAlexW1981333421MaRDI QIDQ973474

Yan-Ze Peng

Publication date: 2 June 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.10.061

zbMATH Keywords

exact solutions\((2+1)\)-dimensional KdV equationWTC truncation method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (8)

A generalized auxiliary equation method and its application to the \((2 + 1)\)-dimensional KdV equations ⋮ Multi-symplectic method for the generalized (2+1)-dimensional KdV-mKdV equation ⋮ Exact coherent structures for coupled integrable dispersionless equations ⋮ A generalized auxiliary equation method and its application to \((2+1)\)-dimensional Korteweg-de Vries equations ⋮ Trilinearization and localized coherent structures and periodic solutions for the \((2 + 1)\) dimensional K-dV and NNV equations ⋮ An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations ⋮ Exact coherent structures in the \((2 + 1)\)-dimensional KdV equations ⋮ Unnamed Item

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