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Another Super Extension Of The Kaup-Newell Hierarchy

Posted on:2019-09-19Degree:MasterType:Thesis
Country:ChinaCandidate:L X GuoFull Text:PDF
GTID:2370330545459711Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This paper mainly discusses another super Kaup-Newell(KN)integrable system,its Bi-Hamilton structures and infinite conservation laws of another super KN equations is also proposed.First of all,with the help of the 3 × 3 matrix spectral problem,a hierarchy of nonlinear differential equations which reduces the famous KN as its first nontrivial equation is achieved.Further,based on the super trace identity,the super Bi-Hamilton structures for the hierarchy are given.In the end,infinitely conservation laws of the super Kaup-Newell equations are derived by using spectral parameter expansions to Riccati equations.
Keywords/Search Tags:super trace identities, super Bi-Hamilton structure, infinite conservation laws, spectral problem, super integrable systems
PDF Full Text Request
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