Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities

被引：283

作者：

Belmonte-Beitia, Juan ^{[1
]}

Perez-Garcia, Victor M.

Vekslerchik, Vadym

Torres, Pedro J.

机构：

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

[2] Univ Castilla La Mancha, Inst Matemat Aplicada Ciencia & Ingn IMACI, E-13071 Ciudad Real, Spain

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.98.064102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using Lie group theory and canonical transformations, we construct explicit solutions of nonlinear Schrodinger 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.

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页数：4

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