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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 165, Number 2, Pages 257–271
DOI: https://doi.org/10.4213/tmf6575 (Mi tmf6575) 		 
Kernel formula approach to the universal Whitham hierarchy

Hsin-Fu Shena, Niann-Chern Leeb, Ming-Hsien Tuc

a Department of Mechanical Engineering, WuFeng Institute of Technology, Chiayi, Taiwan
b General Education Center, National Chinyi University of Technology, Taichung, Taiwan
c Department of Physics, National Chung Cheng University, Chiayi, Taiwan
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DOI: https://doi.org/10.4213/tmf6575
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.
Keywords: kernel formula, Lax formulation, dispersionless Hirota equation, Whitham hierarchy, WDVV equation, residue formula.
Received: 20.03.2010
English version:
Theoretical and Mathematical Physics, 2010, Volume 165, Issue 2, Pages 1456–1469
DOI: https://doi.org/10.1007/s11232-010-0121-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Hsin-Fu Shen, Niann-Chern Lee, Ming-Hsien Tu, “Kernel formula approach to the universal Whitham hierarchy”, TMF, 165:2 (2010), 257–271; Theoret. and Math. Phys., 165:2 (2010), 1456–1469
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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