Soliton surfaces in the generalized symmetry approach

DOI10.1134/S004057791609004XzbMath1353.37141OpenAlexW2526213134MaRDI QIDQ2520103

A. Michel Grundland

Publication date: 13 December 2016

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

Full work available at URL: https://doi.org/10.1134/s004057791609004x

zbMATH Keywords

integrable systemsoliton surfacegeneralized symmetryimmersion formula

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (2)

A cohomological approach to immersed submanifolds via integrable systems ⋮ Quasi-Lie schemes for PDEs

Cites Work

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• Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva)
• Soliton surfaces associated with generalized symmetries of integrable equations
• Surfaces immersed in Lie algebras associated with elliptic integrals
• Invariant recurrence relations for {{{\mathbb C}}P^{N-1}} models
• A generalized formula for integrable classes of surfaces in Lie algebras
• Soliton surfaces and generalized symmetries of integrable systems
• A formula for constructing infinitely many surfaces on Lie algebras and integrable equations

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