A geometrical optics method for solving wave propagation in dispersive weakly nonlinear, weakly inhomogeneous media is applied to plasmas. In the case that the dispersion is comparable to the nonlinearity, the method yields the expected soliton solutions. For strong dispersion, it is found that the amplitude has the same form as in the linear case except that it is multiplied by a slow varying sinusoidal part.
ASJC Scopus subject areas
- Applied Mathematics
- Statistical and Nonlinear Physics