Automodulation of one-dimensional waves based on nonlinear schredingger equation with nonlianerity cubic-quintic type
I. V. Alimenkov

Full text of article: Russian language.

Abstract:
It is shown that nonlinear Schrëdinger equation with nonlinearity cubic-quintic type has a localized solution moving with constant velocity without dispersion. This solution is found by straight method and it contains the well-known solution of cubic nonlinear Schrëdinger equation.

Key words:
nonlinear Schrëdinger equation, nonlinearity 3and  5 order, soliton solutions for cubic-quintic nonlinearity

References:

1. Takhtajan, L.A. Hamilton approach in theory of solitons / L.A. Takhtajan, L.D. Faddeev. – Moscow: “Nauka” Publisher, 1986. – 528 p. – (In Russian).
2. Kivshar, Y.S. Optical solitons. From Fibers to Photonic Grystals / Y.S. Kivshar, G.P. Agrawal. – Moscow: “Fizmatlit” Publisher, 2005. – 648 p. – (In Russian).
3. Alimenkov, I.V. Automodulation of one-dimensional waves based on nonlinear Shredinger equation with non kerr nonlianerity / I.V. Alimenkov // Computer Optics. – 2009. – Vol. 33, N 3. – P. 240-242. – (In Russian).

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