Nonlinear dispersive special type of the Zakharov–Kuznetsov equation ZK(n,n) with compact and noncompact structures

摘要

In this paper we study nonlinear dispersive special type of the Zakharov–Kuznetsov equation with positive and negative exponents. The approach depends mainly on the sine–cosine algorithm. Compactons, solitary patterns, solitons, and periodic solutions are formally derived.