Integrable difference analogue of the logistic equation and Bäcklund transformation of the KP hierarchy

DOI10.1016/0960-0779(94)00148-JzbMath0824.58040arXivhep-th/9410175OpenAlexW2035531781MaRDI QIDQ1893442

Noriko Saitoh, Akinobu Shimizu, Satoru Saito

Publication date: 9 November 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9410175

zbMATH Keywords

integrabilitylogistic equationKP hierarchyBäcklund transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Solitons and infinite dimensional Lie algebras
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• Quantum affine algebras and holonomic difference equations
• Cohomological structure in soliton equations and Jacobian varieties
• A Transformation Connecting the Toda Lattice and the K-dV Equation
• An analysis of a family of rational maps containing integrable and non-integrable difference analogue of the logistic equation
• Integrable lattice gauge model based on soliton theory
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