Geodesic
Kernel formula~approach to the~universal Whitham hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 257-271

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Based on the kernel formula proposed by Carroll and Kodama, we derive the dispersionless Hirota equations of the universal Whitham hierarchy. We also verify the associativity equations in this hierarchy from the dispersionless Hirota equations and give a realization of the associative algebra with the structure constants expressed in terms of residue formulas.
Mots-clés : kernel formula, Lax formulation, residue formula.
Keywords: dispersionless Hirota equation, Whitham hierarchy, WDVV equation 
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     author = {Hsin-Fu Shen and Niann-Chern Lee and Ming-Hsien Tu},
     title = {Kernel formula~approach to the~universal {Whitham} hierarchy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Hsin-Fu Shen; Niann-Chern Lee; Ming-Hsien Tu. Kernel formula~approach to the~universal Whitham hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 257-271. http://geodesic.mathdoc.fr/item/TMF_2010_165_2_a4/