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On soliton solutions of the modified equal width equation.
- Source :
-
Engineering Computations . 2023, Vol. 40 Issue 5, p1063-1083. 21p. - Publication Year :
- 2023
-
Abstract
- Purpose: The soliton solutions are obtained by using extended rational sin/cos and sinh-cosh method. The methods are powerful and have ease of use. Applying wave transformation to the nonlinear partial differential equations (NLPDEs) and the considered equation turns into a nonlinear differential equation (NODE). According to the methods, the solution sets of the NODE are supposed to the form of the rational terms as sinh/cosh and sin/cos and the trial solutions are substituted into the NODE. Collecting the same power of the trigonometric functions, a set of algebraic equations is derived. Design/methodology/approach: The main purpose of this paper is to obtain soliton solutions of the modified equal width (MEW) equation. MEW is a form of regularized-long-wave (RLW) equation that represents one-dimensional wave propagation in nonlinear media with dispersion processes. This is also used to simulate the undular bore in a long shallow water canal. Findings: Thus, the solution of the main PDE is reduced to the solution of a set of algebraic equations. In this paper, the kink, singular and singular periodic solitons have been successfully obtained. Originality/value: Illustrative plots of the solutions have been presented for physical interpretation of the obtained solutions. The methods are powerful and might be used to solve a broad class of differential equations in real-life problems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02644401
- Volume :
- 40
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Engineering Computations
- Publication Type :
- Academic Journal
- Accession number :
- 164960563
- Full Text :
- https://doi.org/10.1108/EC-08-2022-0529