Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation

DOI10.1007/s11071-015-2159-1zbMath1348.37105OpenAlexW572443541MaRDI QIDQ327481

Liu Na

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2159-1

zbMATH Keywords

Lax pairmulti-soliton solutionsbinary Bell polynomialbilinear Bäcklund transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08)

Related Items (8)

Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms ⋮ Exact solutions for nonlinear evolution equations using novel test function ⋮ A class of exact solutions of \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation ⋮ Integrability of a generalized (2+1)-dimensional soliton equation via Bell polynomials ⋮ Bilinear Bäcklund transformations, lump solutions and interaction solutions for \((4+1)\)-dimensional variable-coefficient Fokas equation ⋮ Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types ⋮ Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation ⋮ Modified method of simplest equation and its applications to the Bogoyavlenskii equation

Uses Software

• ATFM

Cites Work

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