Feng’s First Integral Method for Analytic Treatment of Two Higher Dimensional Nonlinear Partial Differential Equations

Abstract

Analytic treatment of nonlinear partial differential equations is increasingly attracting the attention of academic researchers worldwide. Therefore, in the present study, Feng’s first integral method which is based on the ring theory of commutative algebra is utilized for analytic treatment of two higher dimensional nonlinear partial differential equations, including the (3+1)-dimensional modified KdV–Zakharov–Kuznetsev equation and the (3+1)-dimensional Zakharov–Kuznetsov equation.