https://doi.org/10.1140/epjp/i2016-16148-9
Regular Article
Soliton solutions for the nonlocal nonlinear Schrödinger equation
1
Department of Basic Courses, Sichuan Finance and Economics Vocational College, Chengdu, 610101, Sichuan, China
2
School of Mathematics, South China University of Technology, 510640, Guangzhou, China
* e-mail: linglm@scut.edu.cn
Received:
21
January
2016
Revised:
6
April
2016
Accepted:
11
April
2016
Published online:
12
May
2016
The Darboux transformation (DT) for the integrable nonlocal nonlinear Schrödinger equation (nNLSE) is constructed with the aid of loop group method. Based on the DT, we derive several types of analytical solutions for the focusing case and defocusing case, such as the periodical solutions, soliton solutions, breathers and rational ones. Dynamical properties for those solutions to the nNLSE are analyzed on basis of the solution expressions and figures.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
