Khater, A. H.; Hassan, M. M.; Temsah, R. S. Exact solutions with Jacobi elliptic functions of two nonlinear models for ion-acoustic plasma waves. (English) Zbl 1076.35099 J. Phys. Soc. Japan 74, No. 5, 1431-1435 (2005). Summary: The periodic wave solutions of two nonlinear models for ion-acoustic plasma waves, including the mixed Korteweg-de Vries (KdV) and modified KdV equation and the \((3+ 1)\)-dimensional modified Zakharov-Kuznetsov equation, are obtained by using the \(F\)-expansion method and introducing appropriate transformations. In the limiting cases, the solitary wave solutions of the equations are also obtained. Cited in 6 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions 35C05 Solutions to PDEs in closed form 76X05 Ionized gas flow in electromagnetic fields; plasmic flow Keywords:\(F\)-expansion method; periodic wave solutions; solitary wave solutions; modified KdV equation; Zakharov-Kuznetsov equation PDFBibTeX XMLCite \textit{A. H. Khater} et al., J. Phys. Soc. Japan 74, No. 5, 1431--1435 (2005; Zbl 1076.35099) Full Text: DOI