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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 78, Number 2, Pages 234–247
(Mi tmf4733)
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This article is cited in 4 scientific papers (total in 4 papers)
Fermions on a Riemann surface and the Kadomtsev–Petviashvili equation
A. V. Zabrodin
Abstract:
It is shown that the scattering matrix for free massless fermions on a Riemann surface of finite genus generates the quasiperiodic solutions of the Kadomtsev–Petviashvili equation. The operator changing the genus of the solution is constructed and the composition law of such operators is discussed. The construction extends the well-known operator approach in the case of soliton solutions to the general case of the quasiperiodic $\tau$-functions.
Received: 02.07.1987
Citation:
A. V. Zabrodin, “Fermions on a Riemann surface and the Kadomtsev–Petviashvili equation”, TMF, 78:2 (1989), 234–247; Theoret. and Math. Phys., 78:2 (1989), 167–177
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https://www.mathnet.ru/eng/tmf4733 https://www.mathnet.ru/eng/tmf/v78/i2/p234
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Abstract page: | 339 | Full-text PDF : | 130 | References: | 33 | First page: | 1 |
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