Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities

Journal Article · Fri Apr 25 00:00:00 EDT 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.100.164102· OSTI ID:21128080

Belmonte-Beitia, Juan; Perez-Garcia, Victor M; Vekslerchik, Vadym ^[1]; Konotop, Vladimir V ^[2]

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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)

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.

• OSTI ID: 21128080
• Journal Information: Physical Review Letters, Vol. 100, Issue 16; Other Information: DOI: 10.1103/PhysRevLett.100.164102; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COORDINATES
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PERIODICITY
SCHROEDINGER EQUATION
SOLITONS
SPACE-TIME
TRANSFORMATIONS