Paper Title:
Three Kind of Triangle Rational Functions and Applications for Discrete Nonlinear Equations
  Abstract

In order to efficiently search for new soliton solutions to differential-difference equations (DDEs), three kinds of triangle rational functions are first introduced. Then a kind of formal solutions of DDEs are presented which are expressed by a unified nonlinear combination of the three kinds of triangle rational functions. As illustrative examples, the periodic travelling-wave solutions of the discrete modified KdV(mKdV) equations are obtained.

  Info
Periodical
Advanced Materials Research (Volumes 317-319)
Chapter
Power and Fluid Machinery
Edited by
Xin Chen
Pages
2168-2171
DOI
10.4028/www.scientific.net/AMR.317-319.2168
Citation
X. R. Guo, Z. T. Liu, M. Guo, "Three Kind of Triangle Rational Functions and Applications for Discrete Nonlinear Equations", Advanced Materials Research, Vols. 317-319, pp. 2168-2171, 2011
Online since
August 2011
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Price
$32.00
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