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Soliton solution with different assumptions through Modified Korteweg-de Vries (MKDV) Equation: Exact analytical solution

  • Sami Alghamdi (Electrical and Computer Engineering Department, King Abdulaziz University) ;
  • Muhammad Asad Iqbal (Department of Mathematics, University of Poonch Rawalakot) ;
  • Muzamal Hussain (Department of Mathematics, University of Sahiwal) ;
  • Muhammad Taj (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Mohamed Amien Khadimallah (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Elimam Ali (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Abdur Rauf (Department of Chemistry, University of Sahiwal)
  • Received : 2024.07.22
  • Accepted : 2025.03.24
  • Published : 2025.04.25
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Abstract

In the present work, nonlinear partial differential equations in its original form are used to obtain soliton solutions for the problem. The equations considered are of practical use since most of them have many applications in our daily life. In particular, the soliton solutions of nonlinear partial differential equations are obtained using a modified version of the exp-function method. Mathematical code for modified exp-function method is developed by making use of the software named MAPLE. Three solutions as assumption-I, assumption-II and assumption-III are utilized with modified form of exp-function method equation. In order to interpret obtained soliton solutions into meaningful form, aid of graphical simulations would be taken using computer softwares MATHEMATICA and MATLAB.

Keywords

Acknowledgement

The authors would like to thank the funding support from Deanship of Scientific Research of King Abdulaziz University, Jeddah, Saudi Arabia 21589, under grant no. GPIP:863-135-2024.

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