Multicomponent nonlinear Schrödinger equation in the case of nonzero boundary conditions

DOI10.1007/BF02105343zbMath0568.35084MaRDI QIDQ1060358

Vladimir S. Gerdjikov, Petr P. Kulish

Publication date: 1985

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

zbMATH Keywords

inverse scattering transformmulticomponent nonlinear Schrödinger equationnon-vanishing boundary conditions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions ⋮ Eigenvalue Analysis of the Lax Operator for the One-Dimensional Cubic nonlinear Defocusing Schrödinger Equation ⋮ Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics ⋮ Multicomponent nonlinear Schrödinger equations with constant boundary conditions

Cites Work

• Quantum inverse problem method. I
• Existence of solutions of integral equations in the thermodynamics of one-dimensional fermions with repulsive delta function potential
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