Jacobi elliptic function solutions of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and t-dependent coefficients

An indirect F-function method is introduced to solve the Zakharov-Kuznetsov equation with power law nonlinearity and nonlinear dispersion along with time-dependent coefficients. Taking advantage of the elliptic equation, this F-function is used to map the solution of the Zakharov-Kuznetsov equation to those of the elliptic equation. As a result, we obtain exact spatiotemporal periodic traveling solutions. Two forms of this model are studied. The constraint relation between these time-dependent coefficients is established for the Jacobi elliptic function solutions to exist. This equation is then investigated with generalized evolution. (c) 2010 Elsevier B.V. All rights reserved.