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Exact gray multi-soliton solutions for nonlinear Schrödinger equation with variable coefficients

✍ Scribed by Rongcao Yang; Ruiyu Hao; Lu Li; Xiaojuan Shi; Zhonghao Li; Guosheng Zhou

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
465 KB
Volume
253
Category
Article
ISSN
0030-4018

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✦ Synopsis

In this paper, the generalized nonlinear Schro ¨dinger equation with variable coefficients is studied. First, exact gray one-soliton solution in explicit form is obtained by using the complex amplitude ansatz method. Second, the multisoliton solutions are constructed through suitable mapping and the explicit two-soliton solution is generated. These solutions are useful in studying the propagation characteristics and interaction of dark (gray) solitons in inhomogeneous fiber system or in soliton management system. Finally, the stabilities of these solutions are discussed numerically.

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