A Note on the Dispersionless Dym Hierarchy |
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| Authors: | Chen Yu-Tung Tu Ming-Hsien |
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| Affiliation: | (1) Department of Physics, National Chung Cheng University, Minghsiung, Chiayi, 621, Taiwan |
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| Abstract: | We discuss the Miura map as well as the Poisson algebras associated with the dispersionless Dym hierarchy. Particularly, we study explicitly the bi-Hamiltonian structure of a truncated Dym system with two variables, in which a new hierarchy flow generated by logarithmic Hamiltonians appears. We then show that this new hierarchy emerges naturally from the topological recursion relation in the Landau–Ginzburg formulation. |
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| Keywords: | bi-Hamiltonian structure dispersionless Dym hierarchy Landau– Ginzburg formulation Miura map |
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