Special types of the nonlinear dispersive Zakharov–Kuznetsov equation with compactons, solitons, and periodic solutions

Abstract

In this article, we study nonlinear dispersive special types 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.

Keywords:

• Compactons
• Solitons
• Periodic solutions
• Zakharov–Kuznetsov equation
• KP equation
• KdV equation
• Sine–cosine method