Nonlinear map for soliton propagation

R. Uma; H. Singh; D. Subbarao

doi:10.1117/12.164756

1 December 1993 Nonlinear map for soliton propagation

R. Uma, H. Singh, D. Subbarao

Proceedings Volume 2039, Chaos in Optics; (1993) https://doi.org/10.1117/12.164756
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Because of the obvious advantage in long time predictions it is useful to convert dynamical problems of flows into problems involving maps. For Hamiltonian flows this in effect is equivalent to identifying an area preserving map in the Poincare surface of section. The preservation of canonical structure of the Hamiltonian flow in the surface of section can lead to a description in terms of discrete canonical equations in the surface of section. This property is utilized here to convert the Hamiltonian flow problem of the dynamic evolution of the nonlinear Schrodinger Equation which is thereby converted to a map in a restricted sense. The evolution of perturbed soliton with initial inhomogeneous chirp factor is governed by this equation and the corresponding map is analyzed.

Citation Download Citation

R. Uma, H. Singh, and D. Subbarao "Nonlinear map for soliton propagation", Proc. SPIE 2039, Chaos in Optics, (1 December 1993); https://doi.org/10.1117/12.164756

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