https://doi.org/10.1140/epjp/i2016-16211-7
Regular Article
Localized structures of the (3+1)-dimensional nonlinear Schrödinger equation with different diffractions and power-law nonlinearities in PT-symmetric potentials
1
School of Physics and Telecommunications Engineering, Zhoukou Normal University, 466001, Zhoukou, China
2
State Key Laboratory of Silicate Materials for Architectures, Wuhan University of Technology, 430070, Wuhan, China
* e-mail: lijitao8@126.com
Received:
15
February
2016
Revised:
28
April
2016
Accepted:
13
May
2016
Published online:
23
June
2016
We study a (3+1)-dimensional variable-coefficient nonlinear Schrödinger equation with different diffractions and power-law nonlinearity in PT-symmetric potentials. Considering different PT-symmetric potentials, we obtain two kinds of analytical sech-type localized soliton solutions. From these solutions, we analytically discuss the powers and power-flow densities. Moreover, we study compression and expansion of localized structures in the periodic distributed amplification system.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
