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