Optical solitons in a power law media with fourth order dispersion. (English) Zbl 1221.78034

Biswas, Anjan; Milovic, Daniela

Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1834-1837 (2009).

Summary: A closed form optical soliton solution is obtained for the nonlinear Schrödinger’s equation with fourth order dispersion in a power law media. The solitary wave ansatze is used to carry out the integration of this equation. Finally, a numerical simulation is given for the closed form soliton solution.

MSC:

78A60	Lasers, masers, optical bistability, nonlinear optics
35Q51	Soliton equations
35Q53	KdV equations (Korteweg-de Vries equations)
37K10	Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)

Keywords:

optical solitons; power law nonlinearity; fourth order dispersion; integrability

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