Soliton solutions for nonlinear equations: A novel ansätze approach

Highlights: • Novel ansätze is introduced for constructing solitons to nonlinear nonintegrable equations PDEs. • Method is successfully applied to the (2+1)-dimensional Caloger–Bogoyavlenskii–Schiff (CBS) equation. • Singular soliton solutions for the CBS equation are obtained. • Method can be applied to wide spectrum of mathematical physics nonlinear non-integrable PDEs. The aim of this article is to introduce a generalized ansätze for constructing soliton and traveling wave solutions to nonlinear nonintegrable equations partial differential equations arising in various fields of physics. The applicability of the approach is confirmed by employing it to obtain families of exact solutions of the ($2+1$)-dimensional Caloger–Bogoyavlenskii–Schiff (CBS) equation.