On Reductions of the Hirota-Miwa Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Hone, A.N.W., Kouloukas, T.E., Ward, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148768
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Reductions of the Hirota-Miwa Equation / A.N.W. Hone, T.E. Kouloukas, C. Ward // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 29 назв. — англ.

The Hirota-Miwa equation (also known as the discrete KP equation, or the octahedron recurrence) is a bilinear partial difference equation in three independent variables. It is integrable in the sense that it arises as the compatibility condition of a linear system (Lax pair). The Hirota-Miwa equatio...