<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>In this work, we investigate the dynamical study of the (1+1)-dimensional Mikhailov-Novikov-Wang (MNW) equation via the unified method is investigated. This technique is used to obtain the soliton solutions, including the trigonometric function solution, the periodic function solution, the exponential function solution, the elliptic function solution, and other soliton-form solutions. All the obtained results in this work utilizing an effective unified method help gain a better understanding of the physical meaning and behavior of the equation, thus sheding light on the significance of investigating diverse nonlinear wave phenomena in physics and ocean engineering. These derived results are entirely new and never repeated in the previous works done by the other authors. For the interest of visual presentation and physical illustrations, we plot the graphical demonstrations of some of the specified solutions in 3-dimensional, contour, and 2-dimensional plots by using <italic>Mathematica </italic>software. Consequently, we observe that the acquired solutions of the MNW equations are anti-bell-shape, kink wave solution, solitary wave, periodic solution, multisoliton, and different types of soliton solutions.</p>
</abstract>

In this work, we investigate the dynamical study of the (1+1)-dimensional Mikhailov-Novikov-Wang (MNW) equation via the unified method is investigated. This technique is used to obtain the soliton solutions, including the trigonometric function solution, the periodic function solution, the exponential function solution, the elliptic function solution, and other soliton-form solutions. All the obtained results in this work utilizing an effective unified method help gain a better understanding of the physical meaning and behavior of the equation, thus sheding light on the significance of investigating diverse nonlinear wave phenomena in physics and ocean engineering. These derived results are entirely new and never repeated in the previous works done by the other authors. For the interest of visual presentation and physical illustrations, we plot the graphical demonstrations of some of the specified solutions in 3-dimensional, contour, and 2-dimensional plots by using Mathematica software. Consequently, we observe that the acquired solutions of the MNW equations are anti-bell-shape, kink wave solution, solitary wave, periodic solution, multisoliton, and different types of soliton solutions.

Dynamic nature of analytical soliton solutions of the (1+1)-dimensional Mikhailov-Novikov-Wang equation using the unified approach

Department of Mathematics, Sri Vankateswara College

Department of Mathematics, Faculty of Mathematical Sciences

International Journal of Mathematics and Computer in Engineering

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

In this work, we investigate the dynamical study of the (1+1)-dimensional Mikhailov-Novikov-Wang (MNW) equation via the unified method is investigated. This...

Dynamic nature of analytical soliton solutions of the (1+1)-dimensional Mikhailov-Novikov-Wang equation using the unified approach

Published Online: Sep 13, 2023

Page range: 217 - 228

Received: Jul 14, 2023

Accepted: Sep 03, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0018

Keywords
Analytical soliton solutions, unified method, solitons, Mikhailov-Novikov-Wang equation, dynamic nature, mathematical methods

© 2023 Amit Kumar et al., published by Sciendo

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

Dynamic nature of analytical soliton solutions of the (1+1)-dimensional Mikhailov-Novikov-Wang equation using the unified approach

Published Online: Sep 13, 2023

Page range: 217 - 228

Received: Jul 14, 2023

Accepted: Sep 03, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0018

KeywordsAnalytical soliton solutions, unified method, solitons, Mikhailov-Novikov-Wang equation, dynamic nature, mathematical methods

© 2023 Amit Kumar et al., published by Sciendo

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

Keywords
Analytical soliton solutions, unified method, solitons, Mikhailov-Novikov-Wang equation, dynamic nature, mathematical methods