New Exact Solutions of Fractional Zakharov—Kuznetsov and Modified Zakharov—Kuznetsov Equations Using Fractional Sub-Equation Method. (1st January 2015)

• Record Type: Journal Article
• Authors: Ray, S. Saha; Sahoo, S.
• Is Part Of: Communications in theoretical physics. Volume 63:Number 1(2015:Jan.)
• Page Start: 25
• Page End: 30
• Publication Date: 2015-01-01
• Subjects: Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/63/1/05
• Languages: English
• ISSNs: 0253-6102

Abstract

<abstract xml:lang="en"> <title>Abstract</title> <p>In the present paper, we construct the analytical exact solutions of some nonlinear evolution equations in mathematical physics; namely the space-time fractional Zakharov—Kuznetsov (ZK) and modified Zakharov—Kuznetsov (mZK) equations by using fractional sub-equation method. As a result, new types of exact analytical solutions are obtained. The obtained results are shown graphically. Here the fractional derivative is described in the Jumarie' modified Riemann—Liouville sense.</p> </abstract>