On Gauge Equivalent Integrable Systems and <em>r</em>-matrices for AKNS Hierarchy and A Coupled MKdV Hierarchy

LIU Xiang-lin; CHEN Qing-hui; ZHANG Bao-cai

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(7): 764-770

LIU Xiang-lin, CHEN Qing-hui, ZHANG Bao-cai. On Gauge Equivalent Integrable Systems and r-matrices for AKNS Hierarchy and A Coupled MKdV Hierarchy[J]. Applied Mathematics and Mechanics, 2003, 24(7): 764-770.

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On Gauge Equivalent Integrable Systems and r-matrices for AKNS Hierarchy and A Coupled MKdV Hierarchy

Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, P. R. China

Received Date: 2002-01-17
Rev Recd Date: 2003-03-10
Publish Date: 2003-07-15

Abstract

Abstract

The new coupled MKdV hierarchy is obtained.By using gauge transformation,the constrained flow,the integrable system and Lax representation for the coupled MKdV hierarchy were first constructed from the AKNS hierarchy and then using the Lax representation the r-matrix for the constrained flow of the coupled MKdV hierarchy was constructed.The second set of conserved integrals of this constrained flow and their involutivity were also given.
- gauge equivalence,
- r-matrix,
- integrable system

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References(9)

References

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