Space-time scaling invariant traveling wave solutions of some nonlinear fractional equations

Authors : Tianlan He, Hui Fang

Pages : 465-472

Doi:10.3906/kim-1207-74

View : 10 | Download : 6

Publication Date : 9999-12-31

Article Type : Makaleler

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