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Traveling Wave Solutions of Some Coupled Nonlinear Evolution Equations
Author(s) -
Kamruzzaman Khan,
M. Ali Akbar
Publication year - 2013
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.1155/2013/685736
Subject(s) - traveling wave , nonlinear system , simple (philosophy) , independent equation , mathematics , evolution equation , mathematical analysis , physics , classical mechanics , partial differential equation , quantum mechanics , philosophy , epistemology
The modified simple equation (MSE) method is executed to find the traveling wave solutions for the coupled Konno-Oono equations and the variant Boussinesq equations. The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It has been shown that the proposed method is direct, effective, and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics. Moreover, this procedure reduces the large volume of calculations.

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