The new integrable symplectic map and the symmetry of integrable nonlinear lattice equation
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- 作者：Huanhe Dong ; Yong Zhang ; yzhang19900402@163.com" class="auth_mail" title="E-mail the corresponding author ; Xiaoen Zhang
- 关键词：Discrete isospectrum system ; Liouville integrability ; Binary nonlinearization ; Integrable symplectic map ; Symmetry
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：July 2016
- 年：2016
- 卷：36
- 期：Complete
- 页码：354-365
- 全文大小：424 K
文摘
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In this paper, we construct a discrete matrix spectral and obtain a discrete integrable system which is Liouville integrable.
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Compared to the continue integrable system, we get the integrable symplectic map of the discrete integrable system.
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We get the solution of the discrete equation by the symmetry method which is different from the traditional approaches such as Backlund transformation, Hirota approach and Darboux transformation.