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

Authors: TIANLAN HE, HUI FANG

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

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