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A new method for constructing soliton solutions to differential-difference equation with symbolic computation. (English) Zbl 1197.35250

Summary: With the aid of the symbolic computation, we present a new method to find explicit exact solutions to nonlinear differential-difference equation. We successfully solve a lattice equation introduced by Wadati [Prog Theor Phys 1976;59 (Suppl.):36-63], and obtain some new soliton solutions.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
39A99 Difference equations
68W30 Symbolic computation and algebraic computation
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References:

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