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Huang, Wenhua; Liu, Yulu

Jacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schrödinger system. (English) Zbl 1197.81121

Chaos Solitons Fractals 40, No. 2, 786-792 (2009).
Summary: A new general Jacobi elliptic function expansion algorithm is developed to obtain exact solutions for discrete nonlinear systems. Applying this method, many exact Jabobi elliptic function travelling wave solutions for Ablowitz-Ladik discrete nonlinear Schrödinger system are derived. These doubly periodic solutions may degenerate to hyperbolic function solutions including discrete soliton solutions as the modulus \(m \rightarrow 1\) and trigonometric function solutions as \(m \rightarrow 0\), respectively.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

Cited in 9 Documents

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35J99 Elliptic equations and elliptic systems
35Q55 NLS equations (nonlinear Schrödinger equations)
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\textit{W. Huang} and \textit{Y. Liu}, Chaos Solitons Fractals 40, No. 2, 786--792 (2009; Zbl 1197.81121)
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