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SOLITON SOLUTIONS OF THE LOADED MODIFIED CALOGERO-DEGASPERIS EQUATION

Bazar BabajanovDepartment of Applied Mathematics and Mathematical Physics, Urgench State University Urgench, UZBEKISTANFakhriddin Abdikarimov
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Abstract

In this article, we construct exact travelling wave solutions of the loaded modified Calogero-Degasperis equation by (G /G) -expansion method. The efficiency of this method for finding these exact solutions has been demonstrated. We establish several classes of explicit solutions -hyperbolic and trigonometric solutions containing free parameters. The solitary wave solutions of this equation follow from the traveling wave solutions for certain values of the parameters. All calculations have been made with the aid of Matlab program. Our results reveal that the method is a very effective and straightforward way of formulating the exact travelling wave solutions of nonlinear wave equations arising in mathematical physics and engineering.

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