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The dynamics of electromagnetic solitons in relativistic plasmas is studied in this paper by the aid of He's semi-inverse variational principle. Both Kerr law as well as power law nonlinearity are studied in this paper. The domain restriction of the soliton parameters and the perturbation coefficients are identified.

The quasi-stationary solitons for Langmuir waves in plasmas is obtained in this paper. This model is governed by the perturbed nonlinear Schrödinger's equation with cubic and power law nonlinearities. The perturbation terms are considered with full nonlinearity. A new generalized definition of the phase of the soliton is introduced. This leads to additional information at higher order level which soliton perturbation theory fails to capture.