Found 58 Documents (Results 1–58)
Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type. (English) Zbl 07870416
Enumeration of hypermaps and Hirota equations for extended rationally constrained KP. (English) Zbl 1529.14018
Reviewer: Alec Linden Disney-Hogg (Edinburgh)
Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations. (English) Zbl 1525.37074
Reviewer: Felipe Zaldívar (Ciudad de México)
Kadomtsev-Petviashvili turning points and CKP hierarchy. (English) Zbl 1479.37071
Reviewer: Johanna Michor (Wien)
On real bounded and regular \((n-k, k)\)-line KP solitons. (English) Zbl 1434.35145
“Bruno Pini” Mathematical Analysis Seminar 2017. Papers from the seminar, University of Bologna, Bologna, Italy, 2017. Bologna: Università di Bologna, Alma Mater Studiorum. 1-25 (2017).
Reviewer: Ahmed Lesfari (El Jadida)
Computational approach to compact Riemann surfaces. (English) Zbl 1360.14142
Reviewer: Noémie Combe (Marseille)
Combinatorial solutions to integrable hierarchies. (English. Russian original) Zbl 1330.14061
Russ. Math. Surv. 70, No. 3, 453-482 (2015); translation from Usp. Mat. Nauk. 70, No. 3, 77-106 (2015).
Reviewer: Ahmed Lesfari (El Jadida)
A matrix model for hypergeometric Hurwitz numbers. (English. Russian original) Zbl 1318.33022
Theor. Math. Phys. 181, No. 3, 1486-1498 (2014); translation from Teor. Mat. Fiz. 181, No. 3, 421-435 (2014).
Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems. (English) Zbl 1288.35417
Reviewer: Ti-Jun Xiao (Fudan)
A group action on Losev-Manin cohomological field theories. (Une action de groupe sur les théories de champs cohomologiques de Losev-Manin.) (English. French summary) Zbl 1275.53085
Reviewer: Amin Gholampour (College Park)
Ultra-elliptic solitons. (English. Russian original) Zbl 1137.14022
Russ. Math. Surv. 62, No. 4, 796-798 (2007); translation from Usp. Mat. Nauk 62, No. 4, 173-174 (2007).
Reviewer: Iskander A. Taimanov (Novosibirsk)
Integrable linear equations and the Riemann-Schottky problem. (English) Zbl 1132.14032
Ginzburg, Victor (ed.), Algebraic geometry and number theory. In Honor of Vladimir Drinfeld’s 50th birthday. Basel: Birkhäuser (ISBN 978-0-8176-4471-0/hbk). Progress in Mathematics 253, 497-514 (2006).
Reviewer: Iskander A. Taimanov (Novosibirsk)
Hyperelliptic theta-functions and spectral methods: KdV and KP solutions. (English) Zbl 1127.14032
Reviewer: Iskander A. Taimanov (Novosibirsk)
Sketches of KdV. (English) Zbl 1056.14023
Bertram, Aaron (ed.) et al., Symposium in honor of C. H. Clemens. A weekend of algebraic geometry in celebration of Herb Clemens’s 60th birthday, University of Utah, Salt Lake City, UT, USA, March 10–12, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2152-0/pbk). Contemp. Math. 312, 9-69 (2002).
Reviewer: Werner Kleinert (Berlin)
Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system. (English. Russian original) Zbl 1033.37032
Funct. Anal. Appl. 36, No. 4, 253-266 (2002); translation from Funkts. Anal. Prilozh. 36, No. 4, 1-17 (2002).
Reviewer: Igor Potemine (Toulouse)
Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker’s study on hyperelliptic sigma functions. (English) Zbl 0988.37090
Reviewer: Robert Carroll (Urbana)
Algebro-geometric solutions of \((2+1)\)-dimensional coupled modified Kadomtsev-Petviashvili equations. (English) Zbl 0991.37045
Reviewer: Igor Potemine (Toulouse)
A direct method of construction of two-zone solutions of nonlinear equations. (English. Russian original) Zbl 0995.37058
Math. Notes 66, No. 3, 323-327 (1999); translation from Mat. Zametki 66, No. 3, 401-406 (1999).
An asymptotic expansion for Bloch functions on Riemann surfaces of infinite genus and almost periodicity of the Kadomtsev-Petviashvili flow. (English) Zbl 0952.37045
Reviewer: Samir Musayev (Baku)
A geometrical proof of Shiota’s theorem on a conjecture of S. P. Novikov. (English) Zbl 0945.14017
Reviewer: O.V.Debarre (Strasbourg)
The K. P. hypothesis for decomposable abelian varieties. (English) Zbl 0912.14011
Reviewer: V.V.Chueshev (Kemerovo)
Krichever maps, Faà di Bruno polynomials, and cohomology in KP theory. (English) Zbl 0895.35088
Reviewer: E.D.Belokolos (Kiev)
Periodic solitons and real algebraic curves. (English) Zbl 0904.14017
Reviewer: J.M.Gamboa (Madrid)
The multicomponent KP and Fay trisecant formula. (English) Zbl 0866.14015
Reviewer: W.Kleinert (Berlin)
Real nonsingular finite zone solutions of soliton equations. (English) Zbl 0897.58022
Novikov, S. P. (ed.), Topics in topology and mathematical physics. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 170(27), 153-183 (1995).
Reviewer: E.Previato (Boston)
Darboux transformations for higher-rank Kadomtsev-Petviashvili and Krichever-Novikov equations. (English) Zbl 0840.35096
Reviewer: B.A.Malomed (Ramat Aviv)
Algebraic-geometrical methods in the theory of integrable equations and their perturbations. (English) Zbl 0840.35095
Reviewer: B.A.Malomed (Ramat Aviv)
Super elliptic curves. (English) Zbl 0817.14033
New elliptic potentials. (English) Zbl 0824.14023
Reviewer: W.Kleinert (Berlin)
Geometric Hamiltonian forms for the Kadomtsev-Petviashvili and Zabolotskaya-Khokhlov equations. (English) Zbl 0879.35137
Pràstaro, A. (ed.) et al., Geometry in partial differential equations. Singapore: World Scientific. 155-172 (1994).
Dispersion relations for nonlinear waves and the Schottky problem. (English) Zbl 0811.35121
Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 86-98 (1993).
Explicit construction of group varieties related to soliton solutions of the KP hierarchy. (English) Zbl 0814.14042
Reviewer: T.Siebert (Kaiserslautern)
Geometrical aspects of the Kadomtsev-Petviashvili equation. (English) Zbl 0726.14029
Global geometry and mathematical physics, Lect. 2nd Sess. CIME, Montecatini Terme/Italy 1988, Lect. Notes Math. 1451, 95-137 (1990).
Reviewer: W.W.J.Hulsbergen (Breda)
Algebraic curves and their Jacobians. (Russian) Zbl 0735.14023
Reviewer: W.Kleinert (Berlin)
Prym varieties and soliton equations. (English) Zbl 0766.14020
Infinite dimensional Lie algebras and groups, Proc. Conf., Marseille/Fr. 1988, Adv. Ser. Math. Phys. 7, 407-448 (1989).
Reviewer: M.Schlichenmaier (Mannheim)
The KP equation and the Schottky problem. (English. Russian original) Zbl 0736.14010
Sugaku Expo. 3, No. 2, 183-211 (1990); translation from Sûgaku 41, No. 1, 16-33 (1989).
Reviewer: W.Kleinert (Berlin)
Riemann surfaces, theta functions and representation theory. (Italian) Zbl 0699.14055
Reviewer: A.Buium
KP equations, strings, and the Schottky problem. (English) Zbl 0699.14039
Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 2, 473-492 (1989).
Reviewer: W. W. J. Hulsbergen (Haarlem)
Tangential polynomials and elliptic solitons. (English) Zbl 0698.14029
Reviewer: A.Treibich
Fundamental domains of real-valued solutions of the KP equations. (English) Zbl 0682.35098
Reviewer: N.Kostov
Schottky relations on \(\tfrac12 (C-C)\). (English) Zbl 0737.14009
Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, Pt. 1, 485-502 (1989).
Reviewer: Werner Kleinert (Berlin)
Algebraic curves and their Jacobians. (English. Russian original) Zbl 0881.14014
Algebraic Geometry III. Encycl. Math. Sci. 36, 219-261 (1998); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 36, 233-273 (1989).
Le problème de Schottky: Une introduction. (The Schottky problem: An introduction). (French) Zbl 0654.14022
Reviewer: J.Dieudonné
Fay’s trisecant formula and a characterization of Jacobian varieties. (English) Zbl 0645.14014
Algebraic geometry, Proc. Summer Res. Inst., Brunswick/Maine 1985, part 1, Proc. Symp. Pure Math. 46, 49-61 (1987).
Reviewer: H.H.Martens
The Schottky problem and the Novikov conjecture. (Le problème de Schottky et la conjecture de Novikov.) (French) Zbl 0637.14021
Sémin. Bourbaki, 39ème année, Vol. 1986/87, Exp. No. 675, Astérisque 152/153, 101-112 (1987).
Reviewer: A. Bocharev
Flows on r-gonal Jacobians. (English) Zbl 0632.14028
The legacy of Sonya Kovalevskaya, Proc. Symp., Radcliffe Coll. 1985, Contemp. Math. 64, 153-180 (1987).
Reviewer: H.H.Martens
Characterization of Jacobian varieties in terms of soliton equations. (English) Zbl 0621.35097
Reviewer: A.Bocharov
Basic form for Riemann matrices. (English) Zbl 0594.32023
Nonlinear systems of partial differential equations in applied mathematics, Proc. SIAM-AMS Summer Semin., Sante Fe/N.M. 1984, Lect. Appl. Math. 23, Pt. 1, 47-81 (1986).
Reviewer: I.Ya.Dorfman
An analytical translation of a criterion of Welters and its relation with the K. P. Hierarchy. (English) Zbl 0576.14044
Algebraic geometry, Proc. Conf., Sitges (Barcelona)/Spain 1983, Lect. Notes Math. 1124, 1-20 (1985).
Reviewer: T.Sekiguchi
The inverse problem method and holomorphic bundles on Riemann surfaces. (English) Zbl 0542.58016
Reviewer: H.Knörrer
On S. P. Novikov’s conjecture in the theory of theta-functions and nonlinear equations of Korteweg-de Vries and Kadomtsev-Petviashvili type. (English. Russian original) Zbl 0482.35073
Sov. Math., Dokl. 21, 469-472 (1980); translation from Dokl. Akad. Nauk SSSR 251, 541-543 (1980).
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