Solitons and other solutions to the coupled nonlinear Schrödinger type equations

Nonlinear engineering: Modeling and application

article

M. M. El-Borai¹  H. M. El-Owaidy²  Hamdy M. Ahmed³  A. H. Arnous¹  M. Mirzazadeh⁴ 

[1] Department of Engineering Mathematics and Physics, Higher Institute of Engineering;Department of Mathematics, Faculty of science, Alexandria University;Department of Mathematics, Faculty of science, Al-Azhar University;Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan

关键词: Nonlinear evolution equations;    Exact solution;    The Bäcklund transformation of Riccati equation;    Trial solution method;   

DOI  :  10.1515/nleng-2016-0048

来源: De Gruyter

【 摘 要 】

Nonlinear Schrödinger type equations arise from a wide variety of fields, such as fluids, nonlinear optics, the theory of deep water waves, plasma physics, and so on. In this paper, two integration schemes are employed to obtain solitons, periodic waves and other forms of solutions of the coupled nonlinear Schrödinger type equations. The two schemes that are studied in this paper are the Bäcklund transformation of Riccati equation and the trial solution method.

【 授权许可】

Unknown