Bilinearization of discrete soliton equations through the singularity confinement test

DOI10.1016/S0960-0779(98)00265-3zbMath1115.37346OpenAlexW2077546824MaRDI QIDQ997434

Kenji Kajiwara, Ken-Ichi Maruno, Masayuki Oikawa

Publication date: 6 August 2007

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00265-3

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

A systematic method to construct Hirota's transformations of continuous soliton equations and its applications

Cites Work

• Bilinearization of discrete soliton equations and singularity confinement.
• Bilinear discrete Painleve equations
• The conserved quantities and symmetries of the two-dimensional Toda lattice hierarchy
• Conserved quantities and symmetries of KP hierarchy
• A discrete-time relativistic Toda lattice
• Conserved Quantities of a Class of Nonlinear Difference-Difference Equations
• Do integrable mappings have the Painlevé property?

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