Portal de Periódicos da CAPES

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

2010; Elsevier BV; Volume: 374; Issue: 15-16 Linguagem: Inglês

10.1016/j.physleta.2010.02.026

1873-2429

Emmanuel Yomba,

Advanced Mathematical Physics Problems

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.