Three Kind of Triangle Rational Functions and Applications for Discrete Nonlinear Equations
2011 ◽
Vol 317-319
◽
pp. 2168-2171
Keyword(s):
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.
2004 ◽
Vol 41
(4)
◽
pp. 481-486
◽
Keyword(s):
2008 ◽
Vol 36
(5)
◽
pp. 1283-1294
◽
Keyword(s):