Finding the Necessary Conditions for the Existence of the Dark Soliton Solution to the Vakhnenko-Parkes Equation with Variable Coefficients and with Power Law Nonlinearity

Authors

  • Ramez Karroum Tishreen University

Abstract

This research aims to find the necessary conditions for the existence of the dark soliton solution to the Vakhnenko-Parkes equation with time dependent coefficients and with power law nonlinearity by using the solitary wave ansatz method. The value of the power law nonlinearity parameter is determined. The results show that the used method is efficient to obtain this kind of solutions for the nonlinear partial differential equations.

Author Biography

Ramez Karroum, Tishreen University

Associate Professor - Department of Mathematics, Faculty of Sciences

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Published

2020-12-07

How to Cite

1.
كروم ر. Finding the Necessary Conditions for the Existence of the Dark Soliton Solution to the Vakhnenko-Parkes Equation with Variable Coefficients and with Power Law Nonlinearity. TUJ-BA [Internet]. 2020Dec.7 [cited 2024Nov.24];42(5). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/10178

Issue

Vol. 42 No. 5 (2020): Tishreen University Journal for Research and Scientific Studies - Basic Sciences Series

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Articles

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