Title of article :
Space-time scaling invariant traveling wave solutions of some nonlinear fractional equations
Author/Authors :
HE, Tianlan Kunming University of Science and Technology - Center for Nonlinear Science Studies, CHINA , FANG, Hui Kunming University of Science and Technology - Center for Nonlinear Science Studies, CHINA
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
Keywords :
Homogeneous principle , space , time scaling invariant traveling wave solution , generalized fractional Benjamin , Ono equations , generalized fractional Zakharov , Kuznetsov equations
Journal title :
Turkish Journal of Physics
Journal title :
Turkish Journal of Physics