Generalized Hirota's bilinear equations and their soliton solutions

DOI10.1088/0305-4470/26/10/001zbMath0773.35069OpenAlexW2047819132MaRDI QIDQ5288420

Xing-Biao Hu

Publication date: 2 September 1993

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/26/10/001

zbMATH Keywords

\(N\)-soliton solutions

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (4)

\textit{PDEBellII}: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations ⋮ Integrability of a generalized (2+1)-dimensional soliton equation via Bell polynomials ⋮ Novel localized wave solutions of the (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation ⋮ Single and multi-solitary wave solutions to a class of nonlinear evolution equations

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