Kernel Formula Approach to the Universal Whitham Hierarchy - Nonlinear Sciences > Exactly Solvable and Integrable SystemsReport as inadecuate




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



Author: Hsin-Fu Shen, Niann-Chern Lee, Ming-Hsien Tu

Source: https://arxiv.org/







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