Published January 2007
| Version v1
Journal article
Inverse scattering method for square matrix nonlinear Schroedinger equation under nonvanishing boundary conditions
- 1. Department of Physics, Graduate School of Science, University of Tokyo, 7-3-1 Bunkyo-ku, Tokyo 113-0033 (Japan)
- 2. Institute for Materials Research, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577 (Japan)
Description
Matrix generalization of the inverse scattering method is developed to solve the multicomponent nonlinear Schroedinger equation with nonvanishing boundary conditions. It is shown that the initial value problem can be solved exactly. The multi-soliton solution is obtained from the Gel'fand-Levitan-Marchenko [Amer. Math. Soc. Transl. 1, 253 (1955)] equation
Additional details
Identifiers
- DOI
- 10.1063/1.2423222;
- arXiv
- arXiv:nlin/0603010v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 48
- Journal Issue
- 1
- Journal Page Range
- p. 013507-013507.19
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38088202
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; BOUNDARY CONDITIONS; INVERSE SCATTERING PROBLEM; MATHEMATICAL SOLUTIONS; MATRICES; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; SOLITONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2007 American Institute of Physics