Traveling wave solutions of conformable time fractional Burgers type equations
Xiaoli Wang, Lizhen Wang
Abstract
<abstract> 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. </abstract>
Topics & Concepts
Conformable matrixBurgers' equationMathematicsType (biology)Mathematical analysisHyperbolic functionTraveling waveFunction (biology)Fractional calculusApplied mathematicsPartial differential equationPhysicsEcologyBiologyEvolutionary biologyQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsAdvanced Differential Equations and Dynamical Systems