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

被引：267

作者：

Belmonte-Beitia, Juan ^{[1
,2
]}

Perez-Garcia, Victor M. ^{[1
,2
]}

Vekslerchik, Vadym ^{[1
,2
]}

Konotop, Vladimir V. ^{[3
,4
]}

机构：

[1] Univ Castilla La Mancha, Escuela Tecn Super Ingn Ind, Dept Matemat, E-13071 Ciudad Real, Spain

[2] Univ Castilla La Mancha, IMACI, E-13071 Ciudad Real, Spain

[3] Univ Lisbon, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal

[4] Univ Lisbon, Fac Ciencias, Dept Fis, P-1749016 Lisbon, Portugal

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 16期

关键词：

D O I：

10.1103/PhysRevLett.100.164102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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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页数：4

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