Jacobi structures of evolutionary partial differential equations

DOI10.1016/j.aim.2011.01.015zbMath1221.37132arXiv0910.2085OpenAlexW2963134958MaRDI QIDQ531789

Si-Qi Liu, You-Jin Zhang

Publication date: 20 April 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2085

zbMATH Keywords

integrable systembi-Hamiltonian structureJacobi structurereciprocal transformationnonlocal Hamiltonian structure

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) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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