Exact Solutions to (3+1) Conformable Time Fractional Jimbo–Miwa, Zakharov–Kuznetsov and Modified Zakharov–Kuznetsov Equations
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- 1 May 2017
- journal article
- Published by IOP Publishing in Communications in Theoretical Physics
- Vol. 67 (5) , 479
Abstract
Exact solutions to conformable time fractional (3+1)-dimensional equations are derived by using the modified form of the Kudryashov method. The compatible wave transformation reduces the equations to an ODE with integer orders. The predicted solution of the finite series of a rational exponential function is substituted into this ODE. The resultant polynomial equation is solved by using algebraic operations. The method works for the Jimbo–Miwa, the Zakharov–Kuznetsov, and the modified Zakharov–Kuznetsov equations in conformable time fractional forms. All the solutions are expressed in explicit forms.Keywords
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This publication has 26 references indexed in Scilit:
- Cross-kink multi-soliton solutions for the (3+1)-D Jimbo-Miwa equationInternational Journal of Numerical Methods for Heat & Fluid Flow, 2015
- Solitons and other solutions to the quantum Zakharov-Kuznetsov equationAstrophysics and Space Science, 2012
- Traveling Wave Solutions of a Generalized Zakharov-Kuznetsov EquationISRN Mathematical Analysis, 2012
- Solutions of Zakharov-Kuznetsov equation with power law nonlinearity in (1+3) dimensionsPhysics of Wave Phenomena, 2011
- Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky EquationsActa Applicandae Mathematicae, 2010
- New exact solutions for the (3+1)-dimensional Jimbo–Miwa systemChaos, Solitons & Fractals, 2009
- Exact and explicit solutions to the ()-dimensional Jimbo–Miwa equation via the Exp-function methodPhysics Letters A, 2008
- Bäcklund transformation and multiple soliton solutions for the (3+1)-dimensional Jimbo-Miwa equationChinese Physics, 2002
- The Korteweg–de Vries–Zakharov–Kuznetsov equation for electron-acoustic wavesPhysics of Plasmas, 2001
- New solitonic solutions to a (3+1)-dimensional Jimbo-Miwa equationComputers & Mathematics with Applications, 2000