The elastic-fusion-coupled interaction for the Boussinesq equation and new soliton solutions of the KP equation

DOI10.1016/j.amc.2015.02.066zbMath1390.35314OpenAlexW1978351541MaRDI QIDQ1636846

Ai-Hua Chen, Yan-Nan Zhao, Wei-Guo Zhang

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.066

zbMATH Keywords

explicit solutionsBoussinesq equationKP equationDarboux transformationelastic-fusion-coupled interaction

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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

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General M-lump, high-order breather, and localized interaction solutions to \((2+1)\)-dimensional generalized Bogoyavlensky-Konopelchenko equation ⋮ Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation

Cites Work

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