Propagation of diverse solitary wave structures to the dynamical soliton model in mathematical physics

被引:25
作者
Bilal, Muhammad [1 ]
Younas, Usman [1 ]
Ren, Jingli [1 ]
机构
[1] Zhengzhou Univ, Sch Math & Stat, Henan Acad Big Data, Zhengzhou 450001, Peoples R China
基金
中国国家自然科学基金;
关键词
Solitary wave structures; (2+1)-Dimensional soliton; Three symbolic computational methods; NONLINEAR SCHRODINGERS EQUATION; OPTICAL SOLITONS; STABILITY ANALYSIS; CONSTRUCTION;
D O I
10.1007/s11082-021-03189-z
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The extended sinh-Gordon equation expansion, the extended rational sine-cosine/sinh-cosh, and modified direct algebraic methods are employed to investigate the different solitary wave solutions to the (2 + 1)-dimensional soliton model that plays a significant role in mathematical physics. The novel solutions are obtained in the different dark, bright, singular, and combined forms. Moreover, hyperbolic, trigonometric, rational, and singular periodic wave solutions are also recovered. Some solutions have been exemplified by graphical to understand the physical deportment of the proposed soliton model. The achieved outcomes are verified by putting them into the governing equation with the aid of Mathematica. The acquired results are valuable in grasping the elementary scenarios of nonlinear sciences as well as in the related nonlinear higher dimensional wave fields. The outcomes show that the governing model theoretically possesses extremely rich structures of solitary waves. Hence our techniques via fortification of symbolic computations provide an active and potent mathematical implement for solving diverse benevolent nonlinear wave problems.
引用
收藏
页数:20
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