Stability analysis and some exact solutions of a particular equation from a family of a nonlinear Schrödinger equation with unrestricted dispersion and polynomial nonlinearity

被引:0
|
作者
Shafiq Ahmad
Abdul Hameed
Shabir Ahmad
Aman Ullah
Muhammad Akbar
机构
[1] University of Malakand,Department of Mathematics
[2] Government Degree College Thana,Department of Mathematics
[3] Abdul Wali Khan University Mardan,Department of Mathematics
来源
Optical and Quantum Electronics | 2023年 / 55卷
关键词
Optical soliton; Modulational instability; Periodic waves;
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中图分类号
学科分类号
摘要
The paper presents the extraction of optical solitons for a nonlinear Schrödinger equation (SE) utilizing the Sine-Cosine expansion technique. Moreover, the model’s solitary wave solutions’ stability is investigated, and the modulation instability is studied. To understand the behavior of various exact solutions, 3D graphs are created and presented in the paper. The obtained results show the bright optical solitons, optical periodic waves, bell shaped optical solitons and breather type optical solitons for various values of parameters.
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