Abstract
Numerical methods are used to study the decay dynamics of a soliton-like signal in a medium with a cubic nonlinearity (using the nonlinear Shrödinger equation). We consider the influence of the initial pulse area, shape, and random modulations in its amplitude and phase on the decay process, as well as the effects of absorption and pumping in the medium.
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References
É. V. Lugin and A. V. Shapovalov, Izv. Vuzov. Fiz., No. 2, 36–39 (1989).
V. A. Donchenko, M. V. Kabanov, É. V. Lugin, et al., Opt. Atmos.,1, No. 1, 67–71 (1988).
V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, Soliton Theory: The Inverse Problem Method [in Russian], Nauka, Moscow (1980).
V. N. Karpman and E. M. Maslov, Zh. Éksp. Teor. Fiz.,73, No. 2(8), 537 (1977).
A. I. Maimistov, Zh. Éksp. Teor. Fiz.,104, No. 5(11), 3620–3629 (1993).
F. Kh. Abdullaev, S. A. Darmanyan, and P. K. Khabibulaev, Optical Solitons [in Russian], Inst. of Fiz. Akad. Nauk, Tashkent (1987).
J. Orlanski, J. Comp. Phys.,21, No. 3, 251–269 (1976).
Additional information
V. D. Kuznetsov Physico-Technical Institute, Tomsk State University, Siberia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 36–40, April, 1995.
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Donchenko, V.A., Kreidun, Y.A. & Shapovalov, A.V. Propagation of a soliton-like pulse in a weakly nonlinear medium. Russ Phys J 38, 359–363 (1995). https://doi.org/10.1007/BF00560098
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DOI: https://doi.org/10.1007/BF00560098