Title of article :
Various optical solutions to the (1+1)-Telegraph equation with space-time conformable derivatives
Author/Authors :
Gasmi, Boubeker Higher school of Management and Digital Economy - Kolea, Algeria , Kessi, Arezki University of Sciences and Technology USTHB, Algeria , Jarad, Fahd Department of Mathematics - Çankaya University - Ankara, Turkey , Hammouch, Zakia Department of Medical Research - China Medical University Hospital - Taichung, Taiwan
Abstract :
This paper presents a new sub-equation method based on an auxiliary equation which is implemented
via the well-known generalized Kudryashov method, to construct new traveling waves to
the Telegraph equation with time and space conformable derivatives. To illustrate its effectiveness,
it was tested for seeking traveling wave solutions to the (1+1)-Telegraph equation with space-time
conformable derivatives. With the help of Maple Software we derive some new solitary waves solutions.
It can be concluded that the proposed method is an accurate tool for solving several kind of
nonlinear evolution equations.
Keywords :
(1+1)-Telegraph equation , Conformable derivative , Auxiliary equation , Traveling wave , Optical solutions
Journal title :
International Journal of Nonlinear Analysis and Applications
