Soliton curvatures of surfaces and spaces

DOI10.1063/1.531826zbMath0867.53003OpenAlexW2081416504MaRDI QIDQ2785759

B. G. Konopelchenko

Publication date: 11 August 1997

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

Full work available at URL: https://doi.org/10.1063/1.531826

zbMATH Keywords

KdV equationsurfacessoliton curvatures

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Surfaces in Euclidean and related spaces (53A05) Local Riemannian geometry (53B20)

Related Items (8)

Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space ⋮ IMMERSION ANOMALY OF DIRAC OPERATOR ON SURFACE IN ℝ³ ⋮ The Lund–Regge surface and its motion’s evolution equation ⋮ The motion of surfaces in geodesic coordinates and 2+1-dimensional breaking soliton equation ⋮ Surfaces of revolution associated with the kink-type solutions of the SIdV equation ⋮ Spherically symmetric space–times with constant curvature scalar ⋮ Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions ⋮ Integrable equations and their evolutions based on intrinsic geometry of Riemann spaces

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