Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2008-05-03
Physical Review Letters 100, 164102 (2008)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
10.1103/PhysRevLett.100.164102
Using similarity transformations we construct explicit nontrivial solutions of nonlinear Schr\"odinger 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.
Belmonte-Beitia Juan
Konotop Vladimir V.
Perez-Garcia Victor M.
Vekslerchik Vadym
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