Approximation theorem for the self-focusing nonlinear Schrödinger equation and for the periodic curves in \(\mathbb{R}^3\)

DOI10.1016/S0167-2789(01)00155-5zbMath0981.35082arXivnlin/0002020OpenAlexW2003648876MaRDI QIDQ5940195

Petr G. Grinevich

Publication date: 29 July 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0002020

zbMATH Keywords

filament equationfinite-gap solutionssmooth periodic solution

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (2)

Finite-gap solutions of the vortex filament equation: isoperiodic deformations ⋮ On closed finite gap curves in spaceforms. I

Cites Work

• Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations
• Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
• The periodic problem for the Korteweg-de Vries equation
• A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR
• Integrable systems and Riemann surfaces of infinite genus
• A soliton on a vortex filament
• On improving the effectiveness of periodic solutions of the NLS and DNLS equations
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