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A multidimensionally consistent version of Hirota's discrete KdV equation
- 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
- Subjects :
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
Subjects
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