Integrable Anisotropic Evolution Equations on a Sphere
Copyright policy )Integrable Anisotropic Evolution Equations on a Sphere
V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations. Auto-Bäcklund transformations are also found for all equations.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
- Orel State University named after I.S. Turgenev Russian Federation
- Orel State University Russian Federation
conserved densities, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, anisotropy, Mathematical Physics (math-ph), integrability, equation on a sphere, symmetry classification, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Other completely integrable PDE, evolution equation, Hyperbolic conservation laws, QA1-939, Bäcklund transformations, Exactly Solvable and Integrable Systems (nlin.SI), Mathematics, Mathematical Physics
conserved densities, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, anisotropy, Mathematical Physics (math-ph), integrability, equation on a sphere, symmetry classification, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Other completely integrable PDE, evolution equation, Hyperbolic conservation laws, QA1-939, Bäcklund transformations, Exactly Solvable and Integrable Systems (nlin.SI), Mathematics, Mathematical Physics
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