Dark, bright, and peaked solitons for Camassa–Holm nonlinear Schrödinger equation

被引：1
作者：
Farrukh, Mavra [1 ]
Akram, Ghazala [1 ]
Abualnaja, Khadijah M. [2 ]
Sadaf, Maasoomah [1 ]
Arshed, Saima [1 ]
机构：
[1] Department of Mathematics, University of the Punjab, Lahore,54590, Pakistan
[2] Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif,21944, Saudi Arabia
来源：
Optical and Quantum Electronics | 2024年 / 56卷 / 11期
关键词：
Coastal engineering - Integrodifferential equations - Nonlinear equations - Ocean engineering - Schrodinger equation - sine-Gordon equation - Solitons - Water waves;
D O I：
10.1007/s11082-024-07710-y
中图分类号：
学科分类号：
摘要：
Soliton dynamics in water waves are crucial for understanding and mitigating their impacts in coastal engineering, oceanography, and climate studies. This research investigates the soliton solutions of the Camassa–Holm nonlinear Schrödinger equation, a model suitable for studying the interaction between shallow and deep water waves. By applying a traveling wave transformation and the extended sinh-Gordon equation expansion method, the novel exact wave solutions are derived. These solutions, expressed in trigonometric and hyperbolic functions, reveal a variety of patterns, including dark solitons, bright singular solitons, two-bright singular solitons, periodic anti-peakons, V-shaped, and W-shaped periodic waves. The dominance of the Camassa–Holm equation component is evident in the peakon solutions, while the dark and bright solitons highlight the influence of the nonlinear Schrödinger equation component. Furthermore, the attained solutions are compared with existing results obtained using alternative techniques for this model. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.
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