Plasma-waves evolution and propagation modeled by sixth order Ramani and coupled Ramani equations using symmetry methods

Abstract

Abstract Nonlinear shock waves in plasma was modeled and studied using Ramani equation of sixth order and its coupled form representing the interaction between two waves. A new combined methodology of both Lie infinitesimal transformation and singular manifold methods was exploited to create analytical solutions. The method was extended to investigate a coupled system of evolution equations as same as a single evolution equation. Soliton solutions were created for both models.