Exact traveling wave solutions for (2+1)-dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods-Reference-Cited by-同舟云学术

Exact traveling wave solutions for (2+1)-dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods

Published:2023-05-23 Issue:1 Volume:1 Page:11-24
ISSN:2956-7068
Container-title:International Journal of Mathematics and Computer in Engineering
language:en
Short-container-title:

Author:

Mahmud Adnan Ahmad¹,Tanriverdi Tanfer¹,Muhamad Kalsum Abdulrahman¹

Affiliation:

1. 1 Harran University, Faculty of Arts and Sciences , Department of Mathematics , ¸Sanlıurfa , Türkiye

Abstract

Abstract In this research, the extended rational sinh-cosh method and the modified extended tanh-function method for mathematically constructing traveling wave solutions to the (2+1)-dimensional integro-differential Konopelchenko-Dubrovsky evolution equation are successfully employed to obtain specific appropriate solutions for the first time. A traveling wave transformation was utilized to turn the provided model into a third-order nonlinear ordinary differential equation. Solitary and periodic wave solutions for the model under investigation are obtained in terms of various complex hyperbolic trigonometric and rational functions. Several of the aforementioned solutions have been represented by two- and three-dimensional graphics with appropriate arbitrary parameters to highlight their physical implications. Two-dimensional graphs have presented the influence of time evolution on the solution’s structures.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ijmce-2023-0002

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