Turkish Journal of Physics
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.
DOI
10.3906/fiz-1111-1
Keywords
Homogeneous principle; space-time scaling invariant traveling wave solution; generalized fractional Benjamin-Ono equations; generalized fractional Zakharov-Kuznetsov equations
First Page
465
Last Page
472
Recommended Citation
HE, TIANLAN and FANG, HUI
(2012)
"Space-time scaling invariant traveling wave solutions of some nonlinear fractional equations,"
Turkish Journal of Physics: Vol. 36:
No.
3, Article 17.
https://doi.org/10.3906/fiz-1111-1
Available at:
https://journals.tubitak.gov.tr/physics/vol36/iss3/17
