Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques \((G^{\prime} / G)\)-expansion method and improved \((G^{\prime} / G)\)-expansion method. (English) Zbl 1400.35204
Summary: In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics; namely time fractional modified KdV equation by using (\(G^{\prime} / G\))-expansion method and improved (\(G^{\prime} / G\))-expansion method. As a result, new types of exact analytical solutions are obtained.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35C08 | Soliton solutions |
| 35R11 | Fractional partial differential equations |
Keywords:
fractional complex transform; \((G^{\prime} / G)\)-expansion method; improved \((G^{\prime} / G)\)-expansion method; time fractional modified KdV equation; local fractional calculusReferences:
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