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Ultradiscrete KdV Equation [PDF]

open access: yesJournal of the Physical Society of Japan, 1998
Summary: We propose an ultradiscrete KdV equation in a coupled form and a Miura transformation relating it to the ultradiscrete Lotka-Volterra equation. Moreover we show that the ultradiscrete KdV equation under an appropriate boundary condition is equivalent to Takahashi's soliton cellular automaton.
Satoshi Tsujimoto
exaly   +2 more sources
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Reduction of KdV and Cylindrical KdV Equations to Painlevé Equation

Journal of the Physical Society of Japan, 1982
Similarity solutions of the KdV and cylindrical KdV equations are studied by means of Lie's method of infinitesimal transformation groups. It is shown that the KdV equation is reduced to the Painleve transcendental equation of the first or second kind.
Masayoshi Tajiri, Shunji Kawamoto
openaire   +1 more source

KdV Equations and Integrability Detectors

Acta Applicandae Mathematicae, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grammaticos, B.   +2 more
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Exact solutions for coupled KdV equation and KdV equations

Physics Letters, Section A: General, Atomic and Solid State Physics, 2007
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exaly   +2 more sources

On coupled KdV equations

Physics Letters A, 1998
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Quantizing the KdV Equation

Theoretical and Mathematical Physics, 2001
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