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A multidimensionally consistent version of Hirota's discrete KdV equation

Authors :
Atkinson, James
Publication Year :
2011

Abstract

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.<br />Comment: 11 pages, 2 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1112.6205
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/1751-8113/45/22/222001