Quintic Nonlinearity Induced Solitary Waves in Plasma Physics

The quintic nonlinearity is important in the study of the nonlinear interaction between Langmuir waves and electrons in plasma. Using the pseudoenergy approach, five types of solitary wave solutions are obtained explicitly. Only one of these is the modification of the soliton of the cubic nonlinear Schrödinger equation and can be treated perturbatively. However, other four types of solitary wave solutions are all induced by the quintic nonlinearity and cannot be treated perturbatively from the solutions of the cubic nonlinear Schrödinger equation.