Lie Symmetries and Solitons in Nonlinear Systems with Spatially Inhomogeneous Nonlinearities
Journal Article
·
· Physical Review Letters
- 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)
Using Lie group theory and canonical transformations, we construct explicit solutions of nonlinear Schroedinger equations with spatially inhomogeneous nonlinearities. We present the general theory, use it to show that localized nonlinearities can support bound states with an arbitrary number solitons, and discuss other applications of interest to the field of nonlinear matter waves.
- OSTI ID:
- 20955446
- Journal Information:
- Physical Review Letters, Vol. 98, Issue 6; Other Information: DOI: 10.1103/PhysRevLett.98.064102; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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