Propagation of traveling wave solutions to the Vakhnenko-Parkes dynamical equation via modified mathematical methods

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-03-17 DOI:10.1007/s11766-022-4056-y

Aly R. Seadawy, Wafaa A. Albarakati, Asghar Ali, Dumitru Baleanu

引用次数: 3

Abstract

In this paper, we investigate some new traveling wave solutions to Vakhnenko-Parkes equation via three modified mathematical methods. The derived solutions have been obtained including periodic and solitons solutions in the form of trigonometric, hyperbolic, and rational function solutions. The graphical representations of some solutions by assigning particular values to the parameters under prescribed conditions in each solutions and comparing of solutions with those gained by other authors indicate that these employed techniques are more effective, efficient and applicable mathematical tools for solving nonlinear problems in applied science.

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用改进的数学方法传播Vakhnenko-Parkes动力方程的行波解

本文用三种修正的数学方法研究了Vakhnenko-Parkes方程的一些新的行波解。得到了周期解和孤子解的三角解、双曲解和有理函数解。在规定的条件下，通过给每个解的参数赋特定的值，给出了一些解的图形表示，并与其他作者的解进行了比较，表明这些方法是解决应用科学中非线性问题的更有效、更有效和更适用的数学工具。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.