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The picosecond solitons dynamics in an elliptical core fiber
can be described by nonlinear combined equations according to two-
dimensional model of a waveguide. Averaging over the transverse
dimensions, neglecting the oscillatory term and keeping the core
ellipticity and the spectrum dependence of waveguide's characteristics terms, we find an analitical solution of these equations
because of just integrable. Our consideration is acceptable for
various situations when the core ellipticity is high enough and a
spetial period of polerisation beating is much less than soliton
forming length .
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Alexandre S. Shcherbakov, Anatoly V. Selishchev, "Optical solitons propagation in an elliptical core fiber," Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.22283