The motion of surfaces in geodesic coordinates and 2+1-dimensional breaking soliton equation

DOI10.1063/1.533227zbMath0987.37071OpenAlexW2066850033MaRDI QIDQ2737919

Chun-Li Chen, Yi-Shen Li

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533227

zbMATH Keywords

soliton equationsgeodesic coordinates

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 (1)

The Lund–Regge surface and its motion’s evolution equation

Cites Work

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• Poisson geometry of the filament equation
• Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva)
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• On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations
• A generalized formula for integrable classes of surfaces in Lie algebras
• The Motion of Surfaces
• Integrability and the motion of curves
• Some integrable hierarchies in (2+1) dimensions and their twistor description
• Symmetries of a (2+1)-dimensional breaking soliton equation
• Induced Surfaces and Their Integrable Dynamics
• A soliton on a vortex filament

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