<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Harran University, Faculty of Arts and Sciences

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this research, the extended rational sinh-cosh method and the modified extended tanh-function method for mathematically constructing traveling wave...

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

Published Online: May 23, 2023

Page range: 11 - 24

Received: Mar 21, 2023

Accepted: May 01, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0002

Keywords
Inverse integral transformation, extended rational sinh-cosh method, modified extended tanh method, traveling wave transformation

© 2023 Adnan Ahmad Mahmud et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: May 23, 2023

Page range: 11 - 24

Received: Mar 21, 2023

Accepted: May 01, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0002

KeywordsInverse integral transformation, extended rational sinh-cosh method, modified extended tanh method, traveling wave transformation

© 2023 Adnan Ahmad Mahmud et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Inverse integral transformation, extended rational sinh-cosh method, modified extended tanh method, traveling wave transformation