New perceptions for the bright and dark soliton solutions to the modified nonlinear Schrodinger equation

被引:3
|
作者
Shehata, Maha S. M. [1 ]
Bekir, Ahmet [2 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[2] Neighbourhood Akcaglan,Imarli St 28-4, TR-26030 Eskisehir, Turkiye
来源
关键词
The modified nonlinear Schrodinger equation; the solitary wave ansatz method; the extended simple equation method; soliton solutions; TANH-FUNCTION METHOD; OPTICAL SOLITONS; WAVE SOLUTIONS;
D O I
10.1142/S0217979223502041
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this study, we will implement new bright and dark perceptions for the solitary wave solutions to the modified nonlinear Schrodinger equation. The achieved solutions will describe new vision of the following forms. The first form is the rogue wave modes for a derivative nonlinear Schrodinger model with positive linear dispersion which describe the propagation of rogue waves in ocean engineering as well as all similar waves such as dynamics waveguides that have unexpected large displacements. The second form is the waves which occur only in the regime of positive cubic nonlinearity. The third form is the waves that also occur in the regime that coincides exactly with the existence of instabilities of plane waves. The fourth form is the long-wave limit of a breather (a pulsing mode). Two famous different schemas are involved for this purpose. The first schema is the solitary wave ansatz method, while the second schema is the extended simple equation method. The two schemas are implemented in the same vein and parallel to construct new perceptions to the soliton solutions of this model. A comparison between the obtained new perceptions with the old perceptions that were realized before they have been documented.
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页数:16
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