Analytic Functions and Integrable Hierarchies–Characterization of Tau Functions |
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| Authors: | Teo Lee-Peng |
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| Institution: | (1) Department of Applied Mathematics, National Chiao Tung University, 1001, Ta-Hsueh Road, Hsinchu City, 30050, Taiwan, R.O.C. |
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| Abstract: | We prove the dispersionless Hirota equations for the dispersionless Toda, dispersionless coupled modified KP and dispersionless KP hierarchies using an idea from classical complex analysis. We also prove that the Hirota equations characterize the tau functions for each of these hierarchies. As a result, we establish the links between the hierarchies. |
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| Keywords: | algebraic analysis dispersionless integrable hierarchies Grunsky coefficients tau functions |
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