New Meromorphic Solutions of the Cubic Nonlinear Schrödinger Equation by Using the Complex Method

Guoqiang Dang^1,

¹School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, China

Cite this paper:
Guoqiang Dang. New Meromorphic Solutions of the Cubic Nonlinear Schrödinger Equation by Using the Complex Method. Turkish Journal of Analysis and Number Theory. 2020; 8(4):70-74. doi: 10.12691/tjant-8-4-1

Abstract

We show abundant simply periodic solutions, trigonometric solutions, hyperbolic function solutions and Weierstrass elliptic solutions of the reduction of the cubic nonlinear Schrödinger equation by the complex method with Painlevé analysis, and some solutions appear to be new. At last, we give some computer simulations to illustrate our main results.

Keywords:
Schrödinger equations exact solutions Weierstrass elliptic function solutions complex method

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