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Thirring Solitons in the presence of dispersion

Alan R Champneys·Boris A Malomed·Mark J friedman
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Abstract

The effect of dispersion or diffraction on zero-velocity solitons is studied for the generalized massive Thirring model describing a nonlinear optical fiber with grating or parallel-coupled planar waveguides with misaligned axes. The Thirring solitons existing at zero dispersion/diffraction are shown numerically to be separated by a finite gap from three isolated soliton branches. Inside the gap, there is an infinity of multi-soliton branches. Thus, the Thirring solitons are structurally unstable. In another parameter region (far from the Thirring limit), solitons exist everywhere.

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Alan R Champneys, Boris A Malomed, Mark J friedman. 1998-03-10. Thirring Solitons in the presence of dispersion. https://doi.org/10.1103/physrevlett.80.4169

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