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arxiv: solv-int/9809007 · v1 · submitted 1998-09-01 · solv-int · nlin.SI

A comparison of two discrete mKdV equations

classification solv-int nlin.SI
keywords equationdiscretesolitarysolutionswaveacklundcasecomparison
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We consider here two discrete versions of the modified KdV equation. In one case, some solitary wave solutions, B\"acklund transformations and integrals of motion are known. In the other one, only solitary wave solutions were given, and we supply the corresponding results for this equation. We also derive the integrability of the second equation and give a transformation which links the two models.

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