Traveling wave solutions of conformable time fractional Burgers type equations. (English) Zbl 1484.35116
Summary: In this paper, we investigate the conformable time fractional Burgers type equations. First, we construct the explicit solutions of Riccati equation by means of modified tanh function method and modified extended exp-function method respectively. In addition, based on the formulas obtained above, the traveling wave solutions of conformable time fractional Burgers equation and (2+1)-dimensional generalized conformable time fractional Burgers equations are established applying functional separation variables method. Furthermore, the three-dimensional diagrams of the obtained exact solutions are presented for the purpose of visualization.
MSC:
| 35C07 | Traveling wave solutions |
| 26A24 | Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
Keywords:
conformable time fractional Burgers type equation; Riccati equation; traveling wave solution; method of functional separation of variablesReferences:
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