scientific article; zbMATH DE number 1984350
zbMATH Open1037.37024MaRDI QIDQ4428744
Publication date: 22 September 2003
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mechanical systemsEuler equationLie groupsymplectic structuremomentum mapLie-Poisson bracketsHamilton vector fieldsmotions on the cotangent bundle of the group
KdV equations (Korteweg-de Vries equations) (35Q53) Hamilton's equations (70H05) Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) (n)-body problems (70F10) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
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