arXiv subjects

Gokhan Koyunlu

Publications and source records attributed to Gokhan Koyunlu.

2 recordsLinked to original sources

arXiv2017

Topological 1-soliton solutions to some conformable fractional partial differential equations

Topological 1-soliton solutions to various conformable fractional PDEs in both one and more dimensions are constructed by using simple hyperbolic function ansatz. Suitable traveling wave transformation reduces the fractional partial differential equations to ordinary ones. The next step of the procedure is to determine the power of the ansatz by substituting the it into the ordinary differential equation. Once the power is determined, if possible, the power determined form of the ansatz is substituted into the ordinary differential equation. Rearranging the resultant equation with respect to the powers of the ansatz and assuming the coefficients are zero leads an algebraic system of equations. The solution of this system gives the relation between the parameters used in the ansatz.

nlin.SI↗

arXiv2017

Traveling Wave Solutions to Conformable Time Fractional RLW-class equations

The traveling wave solutions to some nonlinear conformable time fractional partial differential equations in RLW-class are set up by using sech and csch ansatzs. The conformable time fractional forms of the equal-width (EW), regularized long wave (RLW) and symmetric regularized long wave (sRLW) equations are considered in the study. By the assist of the simple traveling wave transformation, the equations are converted to some ordinary differential equations. Then, assuming these equations have solutions of forms of powers of sech and csch functions lead to determine the powers of the solutions if exist. The determination of the relation among the other parameters in the solutions follows the previous process. Finally, the solutions are expressed in some explicit forms.

nlin.SI↗