Integrable equations and their evolutions based on intrinsic geometry of Riemann spaces

DOI10.1155/2009/210304zbMath1177.53052OpenAlexW2160623453WikidataQ58648410 ScholiaQ58648410MaRDI QIDQ1035139

Paul Bracken

Publication date: 10 November 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45713

zbMATH Keywords

solitonintegrable evolutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Global submanifolds (53C40)

Uses Software

• Maple

Cites Work

• Surfaces of revolution via the Schrödinger equation: construction, integrable dynamics and visualization
• Surfaces of revolution in terms of solitons
• Symmetry properties and explicit solutions of the generalized Weierstrass system
• Soliton curvatures of surfaces and spaces
• Pseudospherical Surfaces and Evolution Equations
• The Weierstrass–Enneper system for constant mean curvature surfaces and the completely integrable sigma model
• Induced Surfaces and Their Integrable Dynamics
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