Ultradiscrete Miura transformation

DOI10.1016/j.physleta.2006.10.040zbMath1197.37077OpenAlexW2063377025MaRDI QIDQ601438

Sumit K. Garg

Publication date: 28 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.040

zbMATH Keywords

KdV equationsolitoncellular automatonmiura transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

An ultradiscrete integrable map arising from a pair of tropical elliptic pencils

Cites Work

• The discrete Korteweg-de Vries equation
• Bilinearization of discrete soliton equations and singularity confinement.
• 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
• Conserved Quantities of a Class of Nonlinear Difference-Difference Equations
• Method for Solving the Korteweg-deVries Equation
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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