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arXiv · 0805.0384

Localized nonlinear waves in systems with time- and space-modulated nonlinearities

Juan Belmonte-Beitia·Victor M. Perez-Garcia·Vadym Vekslerchik·Vladimir V. Konotop
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Abstract

Using similarity transformations we construct explicit nontrivial solutions of nonlinear Schrödinger equations with potentials and nonlinearities depending on time and on the spatial coordinates. We present the general theory and use it to calculate explicitly non-trivial solutions such as periodic (breathers), resonant or quasiperiodically oscillating solitons. Some implications to the field of matter-waves are also discussed.

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Juan Belmonte-Beitia, Victor M. Perez-Garcia, Vadym Vekslerchik, Vladimir V. Konotop. 2008-05-03. Localized nonlinear waves in systems with time- and space-modulated nonlinearities. https://doi.org/10.1103/physrevlett.100.164102

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