Master symmetries for Volterra equation, Belov–Chaltikian and Blaszak–Marciniak lattice equations |
| |
Authors: | R Sahadevan S Khousalya |
| |
Institution: | Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai 600 005, Tamil Nadu, India |
| |
Abstract: | It is shown how to derive master symmetries for nonlinear lattice equations systematically using the basic principles but without using either their zero curvature equations or the bi-Hamiltonian structure. This has been illustrated for Volterra equation, two coupled Belov–Chaltikian (BC), and three coupled Blaszak–Marciniak (BM) lattice equations. The existence of a sequence of master symmetries is one of the characteristics of completely integrable nonlinear partial differential and differential–difference equations admitting Hamiltonian structure. |
| |
Keywords: | Integrable lattice equations Master symmetries |
本文献已被 ScienceDirect 等数据库收录! |
|