Gardner's deformations of the Boussinesq equations

DOI10.1088/0305-4470/39/37/008zbMath1106.35062arXivnlin/0603029OpenAlexW3100461542MaRDI QIDQ5492707

Atalay Karasu, Arthemy V. Kiselev

Publication date: 16 October 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0603029

zbMATH Keywords

symmetryHamiltonianscompletely integrable systems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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)

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Algebraic properties of Gardner's deformations for integrable systems ⋮ N = 2 supersymmetric a=4-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation

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