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arxiv: 1112.6205 · v1 · pith:I3Q5HYAFnew · submitted 2011-12-28 · 🌊 nlin.SI

A multidimensionally consistent version of Hirota's discrete KdV equation

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keywords discreteequationconsistenthirotamultidimensionallypolynomialappearsdefined
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A multidimensionally consistent generalisation of Hirota's discrete KdV equation is proposed, it is a quad equation defined by a polynomial that is quadratic in each variable. Soliton solutions and interpretation of the model as superposition principle are given. It is discussed how an important property of the defining polynomial, a factorisation of discriminants, appears also in the few other known discrete integrable multi-quadratic models.

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