New exact travelling wave solutions for space-time fractional nonlinear equations describing nonlinear transmission lines

Publication date: June 2018Source: Results in Physics, Volume 9Author(s): M.A. Abdou, A.A. SolimanAbstractIn this paper, we examines the effectiveness of newly developed algorithms called the exp(-ϕ(ξ))-expansion function method and generalized Kudryashov method for constructing new and important travelling wave solutions of space-time fractional nonlinear differential equations. The fractional differential equation is converted into ordinary differential equations with the help of fractional complex transform and the modified Riemann Liouville derivative sense. The validity and reliability the proposed methods are tested by its applications it for describe the nonlinear low-pass electrical transmission lines and pulse narrowing nonlinear transmission lines respectively.

Source: Results in Physics - July 10, 2018 Category: Physics Source Type: research