Journal
OPTICAL AND QUANTUM ELECTRONICS
Volume 35, Issue 10, Pages 979-998Publisher
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1025121931885
Keywords
Fredholm's alternative; Lie transform; Hamiltonian perturbation; Kerr law; quasi-stationarity
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This paper is a comparitive study of the two approaches namely the quasi-stationarity and the Lie transform that are used for studying the classical optical solitons along with its perturbations governed by the non-linear Schrodinger's equation with Kerr law of non-linearity. The relative advantages and disadvantages of the two methods are enumerated. The study is conducted with both, Hamiltonian as well as non-Hamiltonian type perturbations.
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