Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart
[摘要] Classes of third order non-Abelian evolution equations linked to that of Korteweg-de Vries-type are investigated and their connections represented in a non-commutative Bäcklund chart, generalizing results in [Fuchssteiner B., Carillo S., Phys. A 154 (1989), 467-510]. The recursion operators are shown to be hereditary, thereby allowing the results to be extended to hierarchies. The present study is devoted to operator nonlinear evolution equations: general results are presented. The implied applications referring to finite-dimensional cases will be considered separately.
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[关键词] Classes of third order non-Abelian evolution equations linked to that of Korteweg–de Vries-type are investigated and their connections represented in a non-commutative B¨acklund chart;generalizing results in [Fuchssteiner B.;Carillo S.;Phys;A 154 (1989);467– 510];The recursion operators are shown to be hereditary;thereby allowing the results to be extended to hierarchies;The present study is devoted to operator nonlinear evolution equations general results are presented;The implied applications referring to finite-dimensional cases will be considered separately. [时效性]
