scholarly journals Traveling Wave Solutions to a Mathematical Model of Fractional order (2+1)-Dimensional Breaking Soliton Equation

Fractals ◽  
2021 ◽  
Author(s):  
Umair Ali ◽  
Azhar Iqbal ◽  
Ilyas Khan ◽  
Kashif Kamran ◽  
Shabbir Muhammad ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Fractional Order ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Soliton Equation ◽  
Wave Solutions

Traveling wave solutions in the mathematical model of blood coagulation

2016 ◽  
Vol 96 (16) ◽  
pp. 2891-2905 ◽  
Author(s):  
T. Galochkina ◽  
H. Ouzzane ◽  
A. Bouchnita ◽  
V. Volpert
Keyword(s):  
Mathematical Model ◽  
Blood Coagulation ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
The Mathematical Model

The wave patterns to the time-space fractional Casimir equation for the Ito system

2021 ◽  
pp. 2150396
Author(s):  
Damin Cao ◽  
Wei Xu ◽  
Fajiang He
Keyword(s):  
Fractional Derivative ◽  
Fractional Order ◽  
Soliton Solution ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Graphical Representations ◽  
Wave Solutions ◽  
Time Space ◽  
Wave Patterns

In this paper, the time-space fractional Casimir equation for the Ito system with conformal fractional derivative is taken into consideration and the corresponding traveling wave solutions are given and the effects of the fractional order to the peakon soliton solution are also discussed and analyzed. In addition, some graphical representations are also provided to show the properties of the solution directly.

scholarly journals Coupled Fractional Traveling Wave Solutions of the Extended Boussinesq–Whitham–Broer–Kaup-Type Equations with Variable Coefficients and Fractional Order

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1396
Author(s):  
Jin Hyuk Choi ◽  
Hyunsoo Kim
Keyword(s):  
Fractional Order ◽  
Traveling Wave ◽  
Evolution Equations ◽  
Traveling Wave Solutions ◽  
Boussinesq Equations ◽  
Variable Coefficients ◽  
Nonlinear Evolution Equations ◽  
Smooth Functions ◽  
Wave Solutions ◽  
System Method

In this paper, we propose the extended Boussinesq–Whitham–Broer–Kaup (BWBK)-type equations with variable coefficients and fractional order. We consider the fractional BWBK equations, the fractional Whitham–Broer–Kaup (WBK) equations and the fractional Boussinesq equations with variable coefficients by setting proper smooth functions that are derived from the proposed equation. We obtain uniformly coupled fractional traveling wave solutions of the considered equations by employing the improved system method, and subsequently their asymmetric behaviors are visualized graphically. The result shows that the improved system method is effective and powerful to find explicit traveling wave solutions of the fractional nonlinear evolution equations.

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