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

作者：Abdou M A^*; Soliman A A

来源：Results in Physics, 2018, 9: 1497-1501.

DOI：10.1016/j.rinp.2018.04.031

• Fractional calculus
• Fractional complex transform
• Nonlinear low-pass electrical lines
• The exp(-phi(xi))-expansion function method
• Kudryashov method
• Exact solutions

In this paper, we examines the effectiveness of newly developed algorithms called the exp(-phi(xi))-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.

• 出版日期2018-6