Kernel formula approach to the universal Whitham hierarchy
Theoretical and Mathematical Physics(2010)
摘要
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.
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关键词
kernel formula,Lax formulation,dispersionless Hirota equation,Whitham hierarchy,WDVV equation,residue formula
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