Lax Pairs of Integrable Systems in Bidifferential Graded Algebras
Danda Zhang1 , Da-Jun Zhang2 , Sen-Yue Lou3**
1 School of Mathematics and Statistics, Ningbo University, Ningbo 3152112 Department of Mathematics, Shanghai University, Shanghai 2004443 School of Physical Science and Technology, Ningbo University, Ningbo 315211
Abstract ：Lax pairs regarded as foundations of the inverse scattering methods play an important role in integrable systems. In the framework of bidifferential graded algebras, we propose a straightforward approach to constructing the Lax pairs of integrable systems in functional environment. Some continuous equations and discrete equations are presented.
收稿日期: 2019-12-11
出版日期: 2020-03-24
:
02.30.Ik
(Integrable systems)
02.30.Jr
(Partial differential equations)
47.20.Ky
(Nonlinearity, bifurcation, and symmetry breaking)
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2020, Vol. 37 
