scholarly journals Some newly explored exact solitary wave solutions to nonlinear inhomogeneous Murnaghan’s rod equation of fractional order

2021 ◽  
Vol 15 (1) ◽  
pp. 97-110
Author(s):  
Mehwish Rani ◽  
Naveed Ahmed ◽  
Silvestru Sever Dragomir ◽  
Syed Tauseef Mohyud-Din ◽  
Ilyas Khan ◽  
...  
Keyword(s):  
Solitary Wave ◽  
Fractional Order ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Rod Equation

scholarly journals New fractional calculus and application to the fractional-order of extended biological population model

2018 ◽  
Vol 36 (3) ◽  
pp. 115-128 ◽  
Author(s):  
Ahmad Neirameh
Keyword(s):  
Solitary Wave ◽  
Fractional Order ◽  
Population Model ◽  
Conformable Fractional Derivative ◽  
Solitary Wave Solutions ◽  
Fractional Partial Differential Equations ◽  
Wave Solutions ◽  
Biological Population ◽  
Homogeneous Balance Method ◽  
Homogeneous Balance

In this study, we propose a new algorithm to find exact solitary wave solutions of nonlinear time- fractional order of extended biological population model. The new algorithm basically illustrates how two powerful algorithms, conformable fractional derivative and the homogeneous balance method can be combined and used to get exact solutions of fractional partial differential equations.

scholarly journals Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 896-909 ◽  
Author(s):  
Dianchen Lu ◽  
Aly R. Seadawy ◽  
Mujahid Iqbal
Keyword(s):  
Solitary Wave ◽  
Nonlinear Partial Differential Equations ◽  
Research Work ◽  
Traveling Wave Solutions ◽  
Elliptic Functions ◽  
Mapping Method ◽  
New Method ◽  
Auxiliary Equation ◽  
Solitary Wave Solutions ◽  
Wave Solutions

AbstractIn this research work, for the first time we introduced and described the new method, which is modified extended auxiliary equation mapping method. We investigated the new exact traveling and families of solitary wave solutions of two well-known nonlinear evaluation equations, which are generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified forms of Camassa-Holm equations. We used a new technique and we successfully obtained the new families of solitary wave solutions. As a result, these new solutions are obtained in the form of elliptic functions, trigonometric functions, kink and antikink solitons, bright and dark solitons, periodic solitary wave and traveling wave solutions. These new solutions show the power and fruitfulness of this new method. We can solve other nonlinear partial differential equations with the use of this method.

Solitary wave solutions to a system of Boussinesq-like equations

1992 ◽  
Vol 2 (1) ◽  
pp. 45-50 ◽  
Author(s):  
Peter L. Christiansen ◽  
Virginia Muto ◽  
Salvatore Rionero
Keyword(s):  
Solitary Wave ◽  
Solitary Wave Solutions ◽  
Wave Solutions
Sign in / Sign up

Export Citation Format

Share Document