Kernel Formula Approach to the Universal Whitham Hierarchy

Details Kernel Formula Approach to the Universal Whitham Hierarchy Kernel Formula Approach to the Universal Whitham Hierarchy

2010-01-12

arxiv.org/abs/1001.1934v1

Theor. Math. Phys. 165 (2010) 1456-1469

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages

Scientific paper

We derive the dispersionless Hirota equations of the universal Whitham
hierarchy from the kernel formula approach proposed by Carroll and Kodama.
Besides, we also verify the associativity equations in this hierarchy from the
dispersionless Hirota equations and give a realization of the associative
algebra with structure constants expressed in terms of the residue formulas.

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