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Zbl 1142.37370
Wang, Qi; Yu, Yaxuan
New rational formal solutions for $(1 + 1)$-dimensional Toda equation and another Toda equation. (English)
[J] Chaos Solitons Fractals 29, No. 4, 904-915 (2006). ISSN 0960-0779

Summary: We present a new rational expansion method to uniformly construct a series of exact solutions for nonlinear differential-difference equations. Compared with most existing methods, the proposed method not only recovers some well-known solutions, but also finds some new and general solutions. The efficiency of the method can be demonstrated on $(1 + 1)$-dimensional Toda equation and another Toda equation.
MSC 2000:
*37K60 Lattice dynamics

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