The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems

DOI10.1063/1.3431967zbMath1311.35266arXiv1005.0281OpenAlexW1972523304MaRDI QIDQ5251274

Yunbo Zeng, Yu-Qin Yao

Publication date: 19 May 2015

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

Full work available at URL: https://arxiv.org/abs/1005.0281

Mathematics Subject Classification ID

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) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Formal methods and deformations in algebraic geometry (14D15) Nonholonomic dynamical systems (37J60)

Related Items (4)

The generalized Kupershmidt deformation for constructing new discrete integrable systems ⋮ Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators ⋮ Geometric integrability of some generalizations of the Camassa-Holm equation ⋮ Nonholonomic deformation of coupled and supersymmetric KdV equations and Euler–Poincaré–Suslov method

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