IMPLEMENTATION AND ASSESSMENT OF THE SIMPLE EQUATION TECHNIQUE FOR SOLVING NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
By
Anil Kumar¹ and Gaurav Varshney²
¹Department of Applied Science and Humanities (Mathematics), KCC Institute of Technology & Management, Greater Noida India-201306 ²Department of Mathematics, Sridev Suman Uttarakhand University, P.L.M.S. Campus Rishikesh, Dehradun, Uttarakhand, India-249201
Email: dranilkumar73@rediffmail.com; gauravdips@gmail.com
(Received: September 04, 2023; In format: January 24, 2024; Revised: March 07, 2024; Accepted: March 28, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54109
Abstract
In this paper, the simple equation method is especially used to solve two Nonlinear Partial Differential Partial Equations NLPDEs, the Kodomstev-Petviashvili (KP) equation and the (2+1)-dimensional breaking soliton equation. The modified Benjamin-Bona-Mahony equation and the Klein-Gordon equation in (1+2) dimensions are two illustrations of second order nonlinear equations that can benefit from using this approach. The Bernoulli equation acts as the trial condition and aids in the mathematical a description of the nonlinear wave equation in the simple equation.
2020 Mathematical Sciences Classification: 34-01, 34A06, 34D08.
Keywords and Phrases: Exact solution, simple equation method, modified simple equation method, soliton solution, (2+1) dimension breaking soliton equations.