Exact Solutions of a Family of Higher-Dimensional Space-Time Fractional KDV-Type Equations

Abstract

ABSTRACT

Multiple Lump Solutions of the (4+1)-Dimensional Fokas Equation

“…Further study of lump waves will help us interpret some unknown fields more deeply. Certain ways have been arranged to solve the lump wave solutions of some equations; they are inclusive of the Hirota bilinear method [9,10], the inverse scattering transformation [11], the Darboux transformation [12], the Bäcklund transformation [13], the functional variable method [14], the reduced differential transform method [15], and so on. Many integrable equations which have lump wave solutions are enumerated here, for example, the (3 + 1)-dimensional KPI equation [16], the Davey-Stewartson I equation [17], the (3 + 1)-dimensional nonlinear evolution equation [18,19], and the nonlinear Schrödinger equation [20].…”