Math 6399 lecture notes how to generate an integrable hierarchy from a spectral problem
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Math 6399 Lecture Notes: How to generate an integrable hierarchy from a spectral problem. Dr. Zhijun Qiao ( [email protected] ) Department of Mathematics The University of Texas – Pan American UTPA, MAGC 1.410. Outline. Functional Gradient Pair of Lenard’s operators

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Math 6399 lecture notes how to generate an integrable hierarchy from a spectral problem

Math 6399 Lecture Notes:How to generate an integrable hierarchy from a spectral problem

Dr. Zhijun Qiao

([email protected])

Department of Mathematics

The University of Texas – Pan American

UTPA, MAGC 1.410


Outline
Outline

  • Functional Gradient

  • Pair of Lenard’s operators

  • Hierarchy of nonlinear equations

  • Lax pair and integrability

  • Relation to finite-dimensional integrable system

  • Conclusions

    Today’s talk is based on

    Qiao, Comm. Math Phys 239(2003), 309-341

    www.math.panam.edu/~qiao/Publications-qiao.html






Ch hierarchy qiao comm math phys 239 2003 309 341
CH hierarchy(Qiao, Comm. Math Phys 239(2003), 309-341)




















Explicit solution qiao comm math phys 239 2003 309 341
Explicit Solution (Qiao, Comm. Math Phys239(2003), 309-341)


Thanks for your attention
Thanks for your attention

Any questions/comments?

Today’s talk is based on Qiao, Comm. Math Phys 239(2003), 309-341

www.math.panam.edu/~qiao/Publications-qiao.html

[email protected]


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