期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 182, 期 2, 页码 366-371出版社
ELSEVIER
DOI: 10.1016/j.cpc.2010.10.016
关键词
Optical solitons; Compact Pade scheme; Higher-order nonlinear Schrodinger equation; Power law nonlinearity; Higher order dispersion
资金
- Departement de Physique, Faculte des Sciences of the Universite de Batna, Algeria
In this paper we propose a compact split step Pade scheme (CSSPS) to solve the scalar higher-order nonlinear Schrodinger equation (HNLS) with higher-order linear and nonlinear effects such as the third and fourth order dispersion effects, Kerr dispersion, stimulated Raman scattering and power law nonlinearity. The stability of this method has been proved. It has been shown as well that the CSSPS method gives the same results as classical numerical methods like the split step Fourier method and Crank-Nicholson (CN) method but it presents many advantages over theme. It is more efficient. This proposed scheme is well suited to higher-order dispersion effects and readily generalized for nonlinear and dispersion managed fibers. We tested this scheme for the case of the quintic nonlinearity and confirmed that this effect has no significant role on the propagation of single solitons. (c) 2010 Elsevier B.V. All rights reserved.
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