| Volume 7, Number 3, 2017, Pages 824-840 DOI：10.11948/2017052 |
| The new exact solutions of variant types of time fractional coupled Schr\"{o}dinger equations in plasma physics |
| Subhadarshan Sahoo,Santanu Saha Ray |
| Keywords:Fractional complex transform, local fractional calculus, time fractional coupled Schr\"{o}dinger--KdV equation, time-fractional coupled Schr\"{o}dinger--Boussinesq equation. |
| Abstract: |
| In the present article, the new exact solutions of fractional coupled Schr\"{o}dinger 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 Schr\"{o}dinger--KdV and coupled Schr\"{o}dinger--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. |
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