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W. Yuan, Y. Wu, Q. Chen, H. Yong, All meromorphic solutions for two forms of odd order algebraic differential equations and its applications, Applied Mathematics and Computation, 37 (10) (2014) 1553-1560.

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Article

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

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


Turkish Journal of Analysis and Number Theory. 2020, Vol. 8 No. 4, 70-74
DOI: 10.12691/tjant-8-4-1
Copyright © 2020 Science and Education Publishing

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.

Correspondence to: Guoqiang  Dang, School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, China. Email: dangguoqiang@126.com

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.

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