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

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

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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

(qiao@utpa.edu)

Department of Mathematics

The University of Texas – Pan American

UTPA, MAGC 1.410

- 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

Functional Gradient

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

qiao@utpa.edu