Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations. (English) Zbl 1189.34123
Summary: With the aid of symbolic computation, we present a uniform method for constructing soliton solutions and periodic solutions to nonlinear differential-difference equations. And we successfully solve the famous mKdV lattice equation.
MSC:
| 34K07 | Theoretical approximation of solutions to functional-differential equations |
| 35Q51 | Soliton equations |
| 65L99 | Numerical methods for ordinary differential equations |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 68W30 | Symbolic computation and algebraic computation |
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