Discretization of nonlinear evolution equations over associative function algebras

作者：Tempesta Piergiulio^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(7-8): 3237-3246.

DOI：10.1016/j.na.2009.10.029

• Discrete systems
• Lax pairs
• Integrable hierarchies
• Associative algebras
• Lie symmetries

A general approach is proposed for discretizing nonlinear dynamical systems and field theories on suitable functional spaces, defined over a regular lattice of points, in such a way that both their symmetry and integrability properties are preserved. A class of discrete KdV equations is introduced. Also, new hierarchies of discrete evolution equations of Gelfand-Dickey type are defined.

• 出版日期2010-4-1