DOI: 10.36347/sjpms.2020.v07i07.004

Pages: 99-103

In this paper, the bifurcation theory of dynamical system is applied to study the traveling waves of the (3+1)-dimensional Zakharov-Kuznetsov Equation with Power Law Nonlinearity. By transforming the traveling wave system of the Zakharov-Kuznetsov equation into a dynamical system in R^2, we derive various parameter conditions which guarantee the existence of its bounded and unbounded orbits. Furthermore, by calculating complicated elliptic integrals along these orbits, we obtain exact expressions of bounded traveling wave solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation for n=1.