Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2649
Title: Analytic solutions to nonlinear differential-difference equations by means of the extended (G'/G)-expansion method
Authors: Aslan, İsmail
Keywords: Nonlinear Schrödinger equation
Differential equations
Partial differential equations
Solitons
Integrable systems
Issue Date: Oct-2010
Publisher: IOP Publishing Ltd.
Source: Aslan, İ. (2010). Analytic solutions to nonlinear differential-difference equations by means of the extended (G′/G)-expansion method. Journal of Physics A: Mathematical and Theoretical, 43(39). doi:10.1088/1751-8113/43/39/395207
Abstract: In this paper, a discrete extension of the (G′/G)-expansion method is applied to a relativistic Toda lattice system and a discrete nonlinear Schrödinger equation in order to obtain discrete traveling wave solutions. Closed form solutions with more arbitrary parameters, which reduce to solitary and periodic waves, are exhibited. New rational solutions are also obtained. The method is straightforward and concise, and its applications in physical sciences are promising. © 2010 IOP Publishing Ltd.
URI: http://doi.org/10.1088/1751-8113/43/39/395207
http://hdl.handle.net/11147/2649
ISSN: 1751-8113
1751-8121
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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