Bäcklund transformations

DOI10.1134/S0040577916120011zbMath1362.35011OpenAlexW3190141662MaRDI QIDQ518513

V. V. Zharinov

Publication date: 28 March 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916120011

zbMATH Keywords

curvature tensorYang-Mills fieldconstraintgauge fieldcovariant derivativedifferential relationtotal derivative

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Nonlinear higher-order PDEs (35G20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (17)

Stochastic Lévy differential operators and Yang–Mills equations ⋮ Analysis in differential algebras and modules ⋮ Cosmological models with homogeneous and isotropic spatial sections ⋮ Hamiltonian operators in differential algebras ⋮ Binary relations, Bäcklund transformations, and wave packet propagation ⋮ Classification of extended Clifford algebras ⋮ Lie-Poisson structures over differential algebras ⋮ Lévy Laplacians in Hida calculus and Malliavin calculus ⋮ On the definitions of boundary values of generalized solutions to an elliptic-type equation ⋮ A criterion for the existence of \(L_p\) boundary values of solutions to an elliptic equation ⋮ Asymptotically homogeneous generalized functions and some of their applications ⋮ Analysis in algebras and modules ⋮ Chern-Simons action and disclinations ⋮ Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional ⋮ The boundary values of solutions of an elliptic equation ⋮ On the existence of \(L_2\) boundary values of solutions to an elliptic equation ⋮ Analysis in noncommutative algebras and modules

Cites Work

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• Conservation laws, differential identities, and constraints of partial differential equations
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• Algebraic aspects of gauge theories
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• Rotational elastic waves in double wall tube
• Functional stochastic classical mechanics
• ON BÄCKLUND CORRESPONDENCES

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