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Optical soliton perturbation in a log-law medium with full nonlinearity by He’s semi-inverse variational principle. (English) Zbl 1242.65211

Summary: Optical soliton solution of the non-linear Schrödinger’s equation with log law non-linearity is obtained by He’s variational principle. The perturbation terms that are considered are inter-modal dispersion, self-steepening term and non-linear dispersion, where the last two perturbation terms are with full non-linearity. A numerical simulation is given to complete the study.

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35Q55 NLS equations (nonlinear Schrödinger equations)
78A60 Lasers, masers, optical bistability, nonlinear optics
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