A multidimensionally consistent version of Hirota's discrete KdV equation

Details A multidimensionally consistent version of Hirota's discrete KdV equation A multidimensionally consistent version of Hirota's discrete KdV equation

2011-12-28

arxiv.org/abs/1112.6205v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, 2 figures

Scientific paper

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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