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EXACT SOLUTION OF SOME NONLINEAR EVOLUTIONARY EQUATIONS USING THE MODIFIED SIMPLE EQUATION METHOD

Akmaljon, Ablakulovich AbdurashidovBaxtiyor ogli Ortiqov BekzodXolmuhammad ogli Qodirov NurshodAblakul AbdirashidovNurshod Xolmuhammad ogli Qadirov Student of Mechanical and Mathematical Faculty, Samarkand State University, Uzbekistan
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Abstract

In this paper, modified simple equation method, sine-cosine method and tanh-coth method has been applied to obtain generalized solutions of Nakoryakov-Pokusayev-Shreyber and Klein-Gordon equations. The new exact solutions of these equations have been obtained. It has been shown that the proposed methods provide a very effective, and powerful mathematical tool for solving nonlinear partial differential equations.

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