Spectral approach for the soliton and periodic solutions of the nonlinear wave equation
JOSA B, Vol. 10, Issue 4, pp. 697-703 (1993)
http://dx.doi.org/10.1364/JOSAB.10.000697
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Abstract
A spectral method that obtains the soliton and periodic solutions to the nonlinear wave equation is presented. The results show that the nonlinear group velocity is a function of the frequency shift as well as of the soliton power. When the frequency shift is a function of time, a solution in terms of the Jacobian elliptic function is obtained. This solution is periodic in nature, and, to generate such an optical pulse train, one must simultaneously amplitude- and frequency-modulate the optical carrier. Finally, we extend the method to include the effect of self-steepening.
© 1993 Optical Society of America
Citation
Shiva Kumar, G. V. Anand, and A. Selvarajan, "Spectral approach for the soliton and periodic solutions of the nonlinear wave equation," J. Opt. Soc. Am. B 10, 697-703 (1993)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-10-4-697
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