A Maple package for verifying ultradiscrete soliton solutions

DOI10.1016/j.cpc.2009.01.009zbMath1198.35003OpenAlexW2037536762MaRDI QIDQ603276

Masaaki Ito, Min Gao

Publication date: 6 November 2010

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

Full work available at URL: http://ir.lib.hiroshima-u.ac.jp/00027763

zbMATH Keywords

computer algebrasoliton solutions\texttt{Maple}\texttt{Ultde}Max-plus algebraultradiscrete equations

Mathematics Subject Classification ID

Soliton equations (35Q51) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Uses Software

• Maple
• Ultde

Cites Work

• Toda-type cellular automaton and its \(N\)-soliton solution
• Box and ball system with a carrier and ultradiscrete modified KdV equation
• Constructing solutions to the ultradiscrete Painlevé equations
• Conserved Quantities of a Class of Nonlinear Difference-Difference Equations
• Box and ball system as a realization of ultradiscrete nonautonomous KP equation

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