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The first-order perturbed SBS equations

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Summary

Using standard multiscale techniques, a first-order perturbation theory for SBS is developed. In the presence of small damping, we find that there is a stationary solution for a soliton which is a fixed point. The velocity of this soliton is determined by the damping coefficients. In addition, there is also a constant shift in the pump intensity in the region between the front of the backward moving soliton and the forward light cone of the pump.

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Authors and Affiliations

  1. Departments of Mathematics and Computer Science and Physics, Clarkson University, 13699-5815, Potsdam, NY, USA

    D. J. Kaup

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  1. D. J. Kaup
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Communicated by David McLaughlin

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Kaup, D.J. The first-order perturbed SBS equations. J Nonlinear Sci 3, 427–443 (1993). https://doi.org/10.1007/BF02429872

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  • DOI: https://doi.org/10.1007/BF02429872

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