Bäcklund transformation and some different types of N‐soliton solutions to the (3 + 1)‐dimensional generalized nonlinear evolution equation for the shallow‐water waves

DOI10.1002/MMA.7490zbMath1473.35096OpenAlexW3162950152MaRDI QIDQ4957879

Pengfei Han, Taogetusang Bao

Publication date: 10 September 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7490

zbMATH Keywords

Hirota bilinear methodperiodic soliton solutionshigh-order lump solutionsinteraction phenomenon of high-order lump solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear higher-order PDEs (35G25) Nonlinear evolution equations (47J35) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Soliton solutions (35C08) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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