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Elliptic‐ and hyperbolic‐function solutions of the...
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