New solution family of the Jacobi equations: Characterization, invariants, and global Darboux analysis
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Publication:3442207
DOI10.1063/1.2456380zbMath1121.35026arXiv1910.06766OpenAlexW3100961232MaRDI QIDQ3442207
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.06766
Nonlinear first-order PDEs (35F20) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (11)
$3D$-flows generated by the curl of a vector potential & Maurer-Cartan equations ⋮ Congruence method for global Darboux reduction of finite-dimensional Poisson systems ⋮ Direct Poisson neural networks: learning non-symplectic mechanical systems ⋮ New global solutions of the Jacobi partial differential equations ⋮ Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems ⋮ Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems ⋮ On time-dependent Hamiltonian realizations of planar and nonplanar systems ⋮ Characterization, global analysis and integrability of a family of Poisson structures ⋮ Bi-Hamiltonian structure in Frenet-Serret frame ⋮ An integrable family of Poisson systems: characterization and global analysis ⋮ On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D
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