Abstract
This paper studies optical solitons, in presence of perturbation terms, by the aid of He's variational principle. The inter-modal dispersion, self-steepening, nonlinear dispersion and Raman scattering are all treated as perturbation terms. Both Kerr law as well as power law nonlinearities are considered in this paper.
Highlights
Optical solitons play a major role in large amount of data communication, through optical fibers, the veins of modern communication
The governing equation is the Nonlinear Schrodinger’s equation (NLSE), that governs the propagation of solitons through optical fibers, through trans-continental and trans-oceanic distances [1]–[10]
The special case when m = 1 was studied earlier in 2009 [4]. This perturbed NLSE is going to be studied via He’s variational principle (HVP), in this paper, for Kerr and power law nonlinearity, with fully nonlinear perturbation terms
Summary
Optical solitons play a major role in large amount of data communication, through optical fibers, the veins of modern communication This is one of the major research topics in Nonlinear Optics. There are many mathematical features to this equation that interests the Nonlinear Optics community One such feature is the integrability aspect of this equation, especially in presence of perturbation terms. There are various techniques that have been developed in the past few decades to carry out the integration of these equations. Some of these techniques are Hirota’s bilinear method, Lie symmetry method, F expansion method, G /G method, Riccati’s equation method, soliton ansatz method and many others that even lead to multiple solutions [10]. This is called He’s variational principle (HVP) [1, 5, 9]
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