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Phys. Rev. A 49, 2065–2070 (1994)

Alternative integrable equations of nonlinear optics

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S. P. Burtsev
Department of Mathematics and Computer Science, Clarkson University, Potsdam, New York 13699-5815

I. R. Gabitov
Universität Kaiserslautern, Lehrstuhl für Theoretische Elektrotechnik, Erwin-Schrödinger-Stragese, Postfach 3049, W-6750, Kaiserslautern, Germany

Received 30 August 1993; published in the issue dated March 1994

We present a list of nonlinear optics equations [the reduced Maxwell-Bloch system with pumping (or with a damping of a special type), nonlinear Schrödinger-Bloch equations with pumping, etc.] that can be solved by the inverse-scattering transform with a variable spectral parameter. We obtain the corresponding Lax pairs and equations for the spectral parameter.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.49.2065
DOI:
10.1103/PhysRevA.49.2065
PACS:
42.50.Rh, 02.30.Jr