Abstract
We solve soliton perturbation problem in nonlinear optical system by
introducing Rayleigh's dissipation function in the framework of variational
approach. The adopted process facilitates variational approach to be applied
on dissipative system where the Lagrangian and Hamiltonian are difficult to
form. Exploiting the idea, loss and filtering problems are evaluated with
convincing results. Considering other perturbing terms like two soliton interactions,
intrapulse Raman scattering, self-steepening, and two-photon absorption in
extended nonlinear Schrödinger equation, Rayleigh's dissipation function
is configured intuitively so that the generalized Euler–Lagrange equation
converges to the related governing equation of the pulse propagation. The
process evolves a set of differential equations exploiting the dynamics of
different pulse parameters under the influence of perturbations. The obtained
analytical results are verified with generalized Kantorovich
approach and compared with previous reported results. Numerical simulations
based on the split-step beam propagation method are employed to calculate
the pulse evolution parameters and the derived results are found to be corroborated
well with the analytical predictions.
© IEEE
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