Published April 25, 2008
| Version v1
Journal article
Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities
- 1. Departamento de Matematicas, Escuela Tecnica Superior de Ingenieros Industriales, and Instituto de Matematica Aplicada a la Ciencia y la Ingenieria (IMACI), Universidad de Castilla-La Mancha, 13071 Ciudad Real (Spain)
- 2. Centro de Fisica Teorica e Computacional, Universidade de Lisboa, Complexo Interdisciplinar, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal and Departamento de Fisica, Faculdade de Ciencias, Universidade de Lisboa, Campo Grande, Ed. C8, Piso 6, Lisboa 1749-016 (Portugal)
Description
Using similarity transformations we construct explicit nontrivial solutions of nonlinear Schroedinger equations with potentials and nonlinearities depending both on time and on the spatial coordinates. We present the general theory and use it to calculate explicitly nontrivial solutions such as periodic (breathers), resonant, or quasiperiodically oscillating solitons. Some implications to the field of matter waves are also discussed
Additional details
Identifiers
- DOI
- 10.1103/PhysRevLett.100.164102;
- arXiv
- arXiv:0805.0384v1;
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 100
- Journal Issue
- 16
- Journal Page Range
- p. 164102-164102.4
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40009711
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COORDINATES; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PERIODICITY; SCHROEDINGER EQUATION; SOLITONS; SPACE-TIME; TRANSFORMATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; VARIATIONS; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2008 The American Physical Society