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Abundant breather and semi-analytical investigation: On high-frequency waves' dynamics in the relaxation medium.
- Source :
-
Modern Physics Letters B . 8/10/2021, Vol. 35 Issue 22, p1-17. 17p. - Publication Year :
- 2021
-
Abstract
- This paper investigates the high-frequency waves' dynamical behavior in the relaxation medium through two recent analytical schemes. This study depends on the Vakhnenko–Parkes (VP) equation that has been reduced from the well-known Ostrovsky equation. The modified Khater (MKhat) and the extended simplest equation (ESE) methods are used to handle the considered model. As a result, many novel solitary wave solutions have been obtained to construct the initial and boundary conditions. These conditions allow employing the variational iteration (VI) method to study the semi-analytical solutions of the considered model. The accuracy of solutions is explained along with showing the matching between analytical and semi-analytical solutions and comparing our obtained solutions with the previous results that have been obtained in published research papers. Moreover, the high-frequency waves' behavior relaxation medium is illustrated through some distinct sketches. The methods' performance shows their effectiveness, direct, easy, and consequential for studying many nonlinear evolution equations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR evolution equations
*ANALYTICAL solutions
Subjects
Details
- Language :
- English
- ISSN :
- 02179849
- Volume :
- 35
- Issue :
- 22
- Database :
- Academic Search Index
- Journal :
- Modern Physics Letters B
- Publication Type :
- Academic Journal
- Accession number :
- 151797625
- Full Text :
- https://doi.org/10.1142/S0217984921503723