Dergiler / Turkish Journal of Physics / 2012 / Cilt: 36 - Sayı: 3
Space-time scaling invariant traveling wave solutions of some nonlinear fractional equations
- Sayfa
- 465–472
- DOI
- —
Özet
In this paper, a homogeneous principle is proposed to seek the space-time scaling invariant traveling wave solutions expressed by power functions for some fractional differential equations. Applying this principle to generalized fractional Benjamin-Ono equations and generalized fractional ZakharovKuznetsov equations, the traveling wave solutions expressed by power functions have been obtained under some parameter conditions.
Abstract
In this paper, a homogeneous principle is proposed to seek the space-time scaling invariant traveling wave solutions expressed by power functions for some fractional differential equations. Applying this principle to generalized fractional Benjamin-Ono equations and generalized fractional ZakharovKuznetsov equations, the traveling wave solutions expressed by power functions have been obtained under some parameter conditions.