Commutativity of Pfaffianization and Bäcklund transformation: The semi-discrete Toda equation

DOI10.1016/j.matcom.2006.10.031zbMath1114.37041OpenAlexW1970973998MaRDI QIDQ875342

Jun-Xiao Zhao

Publication date: 13 April 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.10.031

zbMATH Keywords

PfaffianBäcklund transformationcommutativitysoliton solutionCasorati determinantPfaffianization

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

The modified semi-discrete two-dimensional Toda lattice with self-consistent sources ⋮ Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations

Cites Work

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• Pfaffianization of the three-dimensional three-wave equation
• Pfaffianization of the Differential-Difference KP Equation
• Construction of soliton cellular automaton from the vertex model - the discrete 2D Toda equation and the Bogoyavlensky lattice
• Commutativity of Pfaffianization and Bäcklund transformations: the KP equation

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