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Funktsional. Anal. i Prilozhen., 1980, Volume 14, Issue 4, Pages 45–54 (Mi faa1852)  

This article is cited in 64 scientific papers (total in 64 papers)

Elliptic solutions of the Kadomtsev–Petviashvili equation and integrable systems of particles

I. M. Krichever


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English version:
Functional Analysis and Its Applications, 1980, 14:4, 282–290

Bibliographic databases:

UDC: 517.9
Received: 11.03.1980

Citation: I. M. Krichever, “Elliptic solutions of the Kadomtsev–Petviashvili equation and integrable systems of particles”, Funktsional. Anal. i Prilozhen., 14:4 (1980), 45–54; Funct. Anal. Appl., 14:4 (1980), 282–290

Citation in format AMSBIB
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\by I.~M.~Krichever
\paper Elliptic solutions of the Kadomtsev--Petviashvili equation and integrable systems of particles
\jour Funktsional. Anal. i Prilozhen.
\yr 1980
\vol 14
\issue 4
\pages 45--54
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\transl
\jour Funct. Anal. Appl.
\yr 1980
\vol 14
\issue 4
\pages 282--290
\crossref{https://doi.org/10.1007/BF01078304}
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    2. E. D. Belokolos, V. Z. Ènol'skii, “Generalized Lamb ansatz”, Theoret. and Math. Phys., 53:2 (1982), 1120–1127  mathnet  crossref  mathscinet  zmath  isi
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    4. A. R. Its, V. Z. Ènol'skii, “Dynamics of the Calogero–Moser system and the reduction of hyperelliptic integrals to elliptic integrals”, Funct. Anal. Appl., 20:1 (1986), 62–64  mathnet  crossref  mathscinet  zmath  isi
    5. A. O. Smirnov, “Finite-gap solutions of Abelian Toda chain of genus 4 and 5 in elliptic functions”, Theoret. and Math. Phys., 78:1 (1989), 6–13  mathnet  crossref  mathscinet  isi
    6. A. O. Smirnov, “Real elliptic solutions of the “sine-Gordon” equation”, Math. USSR-Sb., 70:1 (1991), 231–240  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    9. V. M. Buchstaber, I. M. Krichever, “Vector addition theorems and Baker–Akhiezer functions”, Theoret. and Math. Phys., 94:2 (1993), 142–149  mathnet  crossref  mathscinet  zmath  isi
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    21. A. O. Smirnov, “Two-gap elliptic solutions of the Boussinesq equation”, Sb. Math., 190:5 (1999), 763–781  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    22. Krichever, I, “Periodic and almost-periodic potentials in inverse problems”, Inverse Problems, 15:6 (1999), R117  isi
    23. A. Treibich, “Hyperelliptic tangential covers and finite-gap potentials”, Russian Math. Surveys, 56:6 (2001), 1107–1151  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    24. D. Gomez-Ullate, A. Gonzalez-Lopez, M. A. Rodriguez, “Quasi-Exactly Solvable Generalizations of Calogero–Sutherland Models”, Theoret. and Math. Phys., 127:3 (2001), 719–728  mathnet  crossref  crossref  mathscinet  zmath  isi
    25. Eilbeck, JC, “Varieties of elliptic solitons”, Journal of Physics A-Mathematical and General, 34:11 (2001), 2215  crossref  isi
    26. Treibich, A, “Difference analogs of elliptic KdV solitons and Schrodinger operators”, International Mathematics Research Notices, 2003, no. 6, 313  isi
    27. Eilbeck, JC, “On a generalized Frobenius-Stickelberger addition formula”, Letters in Mathematical Physics, 63:1 (2003), 5  crossref  isi
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    29. Fledrich, P, “Hyperelliptic osculating covers and KdV solutions periodic in tau”, International Mathematics Research Notices, 2006, 73476  isi
    30. Gesztesy, F, “An explicit characterization of Calogero–Moser systems”, Transactions of the American Mathematical Society, 358:2 (2006), 603  crossref  isi
    31. Nekrasov N.A., Okounkov A., “Seiberg-Witten theory and random partitions”, Unity of Mathematics - IN HONOR OF THE NINETIETH BIRTHDAY OF I.M. GELFAND, Progress in Mathematics, 244, 2006, 525–596  isi
    32. E. Previato, V. Z. Ènol'skii, “Ultra-elliptic solitons”, Russian Math. Surveys, 62:4 (2007), 796–798  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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    35. Ben-Zvi, D, “From solitons to many-body systems”, Pure and Applied Mathematics Quarterly, 4:2 (2008), 319  isi
    36. Matveev, VB, “30 years of finite-gap integration theory”, Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 366:1867 (2008), 837  crossref  isi
    37. Nijhoff F., Atkinson J., “Elliptic N-soliton Solutions of ABS Lattice Equations”, Int Math Res Not, 2010, no. 20, 3837–3895  isi
    38. O. K. Sheinman, “Lax operator algebras and Hamiltonian integrable hierarchies”, Russian Math. Surveys, 66:1 (2011), 145–171  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
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    41. Ben-Zvi D., Nevins T., “D-bundles and integrable hierarchies”, J Eur Math Soc (JEMS), 13:6 (2011), 1505–1567  isi
    42. Treibich A., “Nonlinear evolution equations and hyperelliptic covers of elliptic curves”, Regular & Chaotic Dynamics, 16:3–4 (2011), 290–310  crossref  isi
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  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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