Journal article
Elliptic‐ and hyperbolic‐function solutions of the nonlocal reverse‐time and reverse‐space‐time nonlinear Schrödinger equations
Abstract
In this paper, we obtain the stationary elliptic‐ and hyperbolic‐function solutions of the nonlocal reverse‐time and reverse‐space‐time nonlinear Schrödinger (NLS) equations based on their connection with the standard Weierstrass elliptic equation. The reverse‐time NLS equation possesses the bounded ‐, ‐, ‐, ‐, and ‐function solutions. Of special interest, the ‐function solution can display both the dark‐ and antidark‐soliton profiles. The …
Authors
Li B; Xu T; Zhang T; An L; Chen Y
Journal
Mathematical Methods in the Applied Sciences, Vol. 45, No. 17, pp. 10877–10890
Publisher
Wiley
Publication Date
November 30, 2022
DOI
10.1002/mma.8422
ISSN
0170-4214