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

Xiu Rong Guo; Zheng Tao Liu; Mei Guo

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

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Three Kind of Triangle Rational Functions and Applications for Discrete Nonlinear Equations
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 317-319Three Kind of Triangle Rational Functions and...

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.