Three Kind of Triangle Rational Functions and Applications for Discrete Nonlinear Equations

Abstract:

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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)

Edited by:

Xin Chen

Pages:

2168-2171

DOI:

10.4028/www.scientific.net/AMR.317-319.2168

Citation:

X. R. Guo et al., "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:

$35.00

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