Journal
PHYSICAL REVIEW LETTERS
Volume 100, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.100.164102
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Using similarity transformations we construct explicit nontrivial solutions of nonlinear Schrodinger 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.
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