The improved (G'/G)-expansion method to the (2+1)-dimensional breaking soliton equation

Abstract

In this article, we generate abundant traveling wave solutions of partial differential equation, namely, the (2+1)-dimensional breaking soliton equation involving parameter by applying the improved (G'/G) -expansion method. In this method, G″+ψG′+ФG=0 together with (formula presented) is implemented, where Sf(f = 0,±1,±2,...,±U, ψ and Ф are constants. In addition, the obtained analytical solutions are illustrated in three different families including solitons and periodic solurions. Further, it is vital mentioning that, for a special case, some of our solutions are in good contract with those gained by other authors