Deformation of surfaces, integrable systems, and Chern–Simons theory

DOI10.1063/1.1339831zbMath1053.37058arXivnlin/0006039OpenAlexW3104441056MaRDI QIDQ2774843

Kur. Myrzakul, Ratbay Myrzakulov, Giulio Soliani, Luigi Martina

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0006039

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Surfaces in Euclidean and related spaces (53A05)

Related Items (9)

Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space ⋮ Motion of curves and surfaces in affine geometry ⋮ On Complete Integrability of the Generalized Weierstrass System ⋮ REDUCTIONS OF CHERN–SIMONS THEORY RELATED TO INTEGRABLE SYSTEMS WHICH HAVE GEOMETRIC APPLICATIONS ⋮ Novel extended Zn-Heisenberg ferromagnet models ⋮ Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schrödinger equation ⋮ Integrable motion of two interacting curves, spin systems and the Manakov system ⋮ Gross-Neveu models, nonlinear Dirac equations, surfaces and strings ⋮ Classically integrable non-linear sigma models and their geometric properties

Cites Work

• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
• Self-Dual Chern-Simons Theories
• Induced Surfaces and Their Integrable Dynamics
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