Kernel formula approach to the universal Whitham hierarchy |
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| Authors: | Hsin-Fu Shen Niann-Chern Lee Ming-Hsien Tu |
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| Affiliation: | 1.Department of Mechanical Engineering,WuFeng Institute of Technology,Chiayi,Taiwan;2.General Education Center,National Chinyi University of Technology,Taichung,Taiwan;3.Department of Physics,National Chung Cheng University,Chiayi,Taiwan |
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| Abstract: | 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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