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Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method

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info:eu-repo/semantics/openAccess

Date

2009-12

Author

Aslan, İsmail

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Citation

Aslan, İ. (2009). Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method. Applied Mathematics and Computation, 215(8), 3140-3147 doi:10.1016/j.amc.2009.09.056

Abstract

We extended the (G′/G)-expansion method to two well-known nonlinear differential-difference equations, the discrete nonlinear Schrödinger equation and the Toda lattice equation, for constructing traveling wave solutions. Discrete soliton and periodic wave solutions with more arbitrary parameters, as well as discrete rational wave solutions, are revealed. It seems that the utilized method can provide highly accurate discrete exact solutions to NDDEs arising in applied mathematical and physical sciences.

Source

Applied Mathematics and Computation

Volume

215

Issue

8

URI

http://doi.org/10.1016/j.amc.2009.09.056
http://hdl.handle.net/11147/2236

Collections

  • Mathematics / Matematik [648]
  • Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection [4238]
  • WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection [4082]

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    In this paper, we demonstrate the effectiveness of the so-called (G′/G)-expansion method by examining some nonlinear evolution equations with physical interest. Our work is motivated by the fact that the (G′/G)-expansion ...
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