Boundary-value problem for the nonlinear Schrödinger equation

DOI10.1007/BF01101127zbMath0725.35075OpenAlexW1985623520MaRDI QIDQ2276679

Vitaly O. Tarasov

Publication date: 1991

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/67986

zbMATH Keywords

conservation lawsboundary conditionsnonlinear Schrödinger equationboundary value probleminverse scattering transform method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation

Cites Work

• Application of inverse scattering method to singular solutions of nonlinear equations. I
• Application of inverse scattering method to singular solutions of nonlinear equations. II
• Application of inverse scattering method to singular solutions of nonlinear equations. III
• Correlation functions of the one-dimensional Bose gas in the repulsive case.
• Unnamed Item

This page was built for publication: Boundary-value problem for the nonlinear Schrödinger equation