Rational approximate symmetries of KdV equation
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Publication:4468267
DOI10.1088/0305-4470/36/29/308zbMATH Open1040.37051arXivnlin/0211032OpenAlexW3101162860MaRDI QIDQ4468267
Publication date: 10 June 2004
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Abstract: We construct one-parameter deformation of the Dorfman Hamiltonian operator for the Riemann hierarchy using the quasi-Miura transformation from topological field theory. In this way, one can get the approximately rational symmetries of KdV equation and then investigate its bi-Hamiltonian structure.
Full work available at URL: https://arxiv.org/abs/nlin/0211032
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (3)
Approximate symmetries and solutions of the Kompaneets equation ⋮ Rational solutions of the KP equation through symmetry reductions: Coherent structures and other solutions ⋮ Rational solutions of the master symmetries of the KdV equation
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