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Conferences > NLGW > 2002 > NLTuD > NLTuD13

Eigenvalues of the Zakharov-Shabat scattering problem for real symmetric pulses

M. Desaix, D. Anderson, L. Helczynski, and M. Lisak

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Abstract

The problem of determining the solitons generated from symmetric real initial conditions in the Nonlinear Schrödinger equation is revisited. The corresponding Zakharov- Shabat scattering problem is solved for an example of a real double-humped rectangular initial pulse form. It is found that this real symmetric pulse generates moving soliton pulse pairs corresponding to eigenvalues with non-zero real parts.

© 2002 Optical Society of America

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