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Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity

✍ Scribed by Zhenya Yan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
380 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

Envelope solution Dark soliton solution a b s t r a c t

In this Letter, the discrete nonlinear Schrödinger equation with a saturable nonlinearity is investigated via the extended Jacobi elliptic function expansion method. As a consequence, with the aid of symbolic computation, a variety of new envelope periodic wave solutions are obtained in terms of Jacobi elliptic functions. In particular, the discrete dark soliton solution is also given. We analyze the structures of some of the obtained solutions via the figures.

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