Surfaces of revolution via the Schrödinger equation: construction, integrable dynamics and visualization

DOI10.1016/S0096-3003(98)00036-8zbMath0979.53011arXivsolv-int/9710027MaRDI QIDQ1294255

B. G. Konopelchenko, Roland Beutler

Publication date: 26 February 2002

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9710027

zbMATH Keywords

Schrödinger equationdeformationsKorteweg-de Vries equationsurface of revolutionGaussian curvaturesoliton surfacepseudospherical surface

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) 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 (3)

Surfaces of revolution associated with the kink-type solutions of the SIdV equation ⋮ Integrable equations and their evolutions based on intrinsic geometry of Riemann spaces ⋮ Inverse resonance scattering on rotationally symmetric manifolds

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