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

Abstract

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.

Authors:
; ;  [1];  [2]
  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)
Publication Date:
OSTI Identifier:
21128080
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 100; Journal Issue: 16; Other Information: DOI: 10.1103/PhysRevLett.100.164102; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COORDINATES; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PERIODICITY; SCHROEDINGER EQUATION; SOLITONS; SPACE-TIME; TRANSFORMATIONS

Citation Formats

Belmonte-Beitia, Juan, Perez-Garcia, Victor M, Vekslerchik, Vadym, and Konotop, Vladimir V. Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities. United States: N. p., 2008. Web. doi:10.1103/PHYSREVLETT.100.164102.
Belmonte-Beitia, Juan, Perez-Garcia, Victor M, Vekslerchik, Vadym, & Konotop, Vladimir V. Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities. United States. https://doi.org/10.1103/PHYSREVLETT.100.164102
Belmonte-Beitia, Juan, Perez-Garcia, Victor M, Vekslerchik, Vadym, and Konotop, Vladimir V. 2008. "Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities". United States. https://doi.org/10.1103/PHYSREVLETT.100.164102.
@article{osti_21128080,
title = {Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities},
author = {Belmonte-Beitia, Juan and Perez-Garcia, Victor M and Vekslerchik, Vadym and Konotop, Vladimir V},
abstractNote = {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.},
doi = {10.1103/PHYSREVLETT.100.164102},
url = {https://www.osti.gov/biblio/21128080}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 16,
volume = 100,
place = {United States},
year = {Fri Apr 25 00:00:00 EDT 2008},
month = {Fri Apr 25 00:00:00 EDT 2008}
}