A Maple Package on Symbolic Computation of Hirota Bilinear Form for Nonlinear Equations

DOI10.1088/0253-6102/52/5/07zbMath1186.35194OpenAlexW1978064601MaRDI QIDQ5852341

Xu-Dong Yang, Hang-yu Ruan

Publication date: 27 January 2010

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/52/5/07

zbMATH Keywords

nonlinear equationHirota bilinear formsymbolic algebra

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

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 ⋮ An efficient algorithm of logarithmic transformation to Hirota bilinear form of KdV-type bilinear equation ⋮ Traveling wave solutions and infinite-dimensional linear spaces of multiwave solutions to Jimbo-Miwa equation ⋮ A universal way to determine Hirota's bilinear equation of KdV type

Uses Software

• HBFTrans2
• Unnamed Item

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