THE NEW EXACT SOLUTIONS OF VARIANT TYPES OF TIME FRACTIONAL COUPLED SCHR&#214;DINGER EQUATIONS IN PLASMA PHYSICS

Subhadarshan Sahoo; Santanu Saha Ray

doi:10.11948/2017052

2017 Volume 7 Issue 3

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Subhadarshan Sahoo, Santanu Saha Ray. THE NEW EXACT SOLUTIONS OF VARIANT TYPES OF TIME FRACTIONAL COUPLED SCHRÖDINGER EQUATIONS IN PLASMA PHYSICS[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 824-840. doi: 10.11948/2017052

Citation:

Subhadarshan Sahoo, Santanu Saha Ray. THE NEW EXACT SOLUTIONS OF VARIANT TYPES OF TIME FRACTIONAL COUPLED SCHRÖDINGER EQUATIONS IN PLASMA PHYSICS[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 824-840. doi: 10.11948/2017052

THE NEW EXACT SOLUTIONS OF VARIANT TYPES OF TIME FRACTIONAL COUPLED SCHRÖDINGER EQUATIONS IN PLASMA PHYSICS

Department of Mathematics, National Institute of Technology, Rourkela, 769008, India

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Abstract

Abstract

In the present article, the new exact solutions of fractional coupled Schrödinger type equations have been studied by using a new reliable analytical method. We applied a relatively new method for finding some new exact solutions of time fractional coupled equations viz. time fractional coupled Schrödinger-KdV and coupled Schrödinger-Boussinesq equations. The fractional complex transform have been used here along with the property of local fractional calculus for reduction of fractional partial differential equations (FPDE) to ordinary differential equations (ODE). The obtained results have been plotted here for demonstrating the nature of the solutions
MSC: 26A33;34A08;35R11

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