Soliton-antisoliton collision in the ultradiscrete modified KdV equation

DOI10.1016/j.physleta.2006.04.018zbMath1236.35150OpenAlexW2070583703MaRDI QIDQ950947

Shin Isojima, Atsushi Nobe, Junkichi Satsuma, Mikio Murata

Publication date: 29 October 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.04.018

zbMATH Keywords

integrable systemssolitoncellular automatondiscretemodified KdV equation

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) Soliton equations (35Q51)

Related Items (5)

Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables ⋮ An ultradiscrete integrable map arising from a pair of tropical elliptic pencils ⋮ A novel outlook to the mKdV equation using the advantages of a mixed method ⋮ Theta function solutions for two discrete equations ⋮ Do ultradiscrete systems with parity variables satisfy the singularity confinement criterion?

Cites Work

• Complete integrability and singularity confinement of nonautonomous modified Korteweg-de Vries and sine Gordon mappings
• Toda-type cellular automaton and its \(N\)-soliton solution
• Bilinearization of discrete soliton equations and singularity confinement.
• Piecewise-linear soliton equations and piecewise-linear integrable maps
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• Exact solutions for discrete and ultradiscrete modified KdV equations and their relation to box-ball systems
• Box and ball system with a carrier and ultradiscrete modified KdV equation

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