-
1
-
-
0039347964
-
On the weak Kowalevski-Painlevé property for hyperelliptic separable systems
-
Abenda, S. & Fedorov, Yu. 2000 On the weak Kowalevski- Painlevé property for hyperelliptic separable systems. Acta Appl. Math. 60, 137-178.
-
(2000)
Acta Appl. Math.
, vol.60
, pp. 137-178
-
-
Abenda, S.1
Fedorov, Yu.2
-
3
-
-
0001124224
-
On the hyperelliptic sigma functions
-
Baker, H. F. 1898 On the hyperelliptic sigma functions. Am. J. Math. 20, 301-384.
-
(1898)
Am. J. Math.
, vol.20
, pp. 301-384
-
-
Baker, H.F.1
-
4
-
-
0000252859
-
On a system of differential equations leading to periodic functions
-
Baker, H. F. 1903 On a system of differential equations leading to periodic functions. Acta Math. 27, 135-156.
-
(1903)
Acta Math.
, vol.27
, pp. 135-156
-
-
Baker, H.F.1
-
7
-
-
33645462036
-
Finite-gap solutions of the massive Thirring model
-
Bikbaev, R. F. 1985 Finite-gap solutions of the massive Thirring model. Theor. Math. Phys. 63, 577-584.
-
(1985)
Theor. Math. Phys.
, vol.63
, pp. 577-584
-
-
Bikbaev, R.F.1
-
8
-
-
0009067485
-
On the first and second logarithmic derivatives of hyperelliptic σ-functions
-
Bolza, O. 1895 On the first and second logarithmic derivatives of hyperelliptic σ-functions. Am. J. Math. 17, 11-36.
-
(1895)
Am. J. Math.
, vol.17
, pp. 11-36
-
-
Bolza, O.1
-
9
-
-
0010997403
-
The partial differential equations for the hyperelliptic θ- and σ-functions
-
Bolza, O. 1899a The partial differential equations for the hyperelliptic θ-and σ-functions. Am. J. Math. 21, 107-125.
-
(1899)
Am. J. Math.
, vol.21
, pp. 107-125
-
-
Bolza, O.1
-
10
-
-
0010997403
-
Proof of Brioschi's recursion formula for the expansions of the even σ-functions of two variables
-
Bolza, O. 1899b Proof of Brioschi's recursion formula for the expansions of the even σ-functions of two variables. Am. J. Math. 21, 175-190.
-
(1899)
Am. J. Math.
, vol.21
, pp. 175-190
-
-
Bolza, O.1
-
11
-
-
0011054181
-
Remark concerning expansions of the hyperelliptic σ-functions
-
Bolza, O. 1900 Remark concerning expansions of the hyperelliptic σ-functions. Am. J. Math. 22, 101-112.
-
(1900)
Am. J. Math.
, vol.22
, pp. 101-112
-
-
Bolza, O.1
-
12
-
-
0141622786
-
Lie algebras associated with sigma functions and versal deformations
-
Buchstaber, V. M. & Leykin, D. V. 2002a Lie algebras associated with sigma functions and versal deformations. Usp. Mat. Nauk 57, 145-146. (Transl. Russ. Math. Surv. 57, 584-586 (2002).)
-
(2002)
Usp. Mat. Nauk
, vol.57
, pp. 145-146
-
-
Buchstaber, V.M.1
Leykin, D.V.2
-
13
-
-
0036558756
-
-
Transl.
-
Buchstaber, V. M. & Leykin, D. V. 2002a Lie algebras associated with sigma functions and versal deformations. Usp. Mat. Nauk 57, 145-146. (Transl. Russ. Math. Surv. 57, 584-586 (2002).)
-
(2002)
Russ. Math. Surv.
, vol.57
, pp. 584-586
-
-
-
14
-
-
0036418924
-
Graded Lie algebras that define hyperelliptic sigma functions
-
Buchstaber, V. M. & Leykin, D. V. 2002b Graded Lie algebras that define hyperelliptic sigma functions. Dokl. Akad. Nauk 385. (Transl. Dokl. Math. Sci. 66, 87-90 (2002).)
-
(2002)
Dokl. Akad. Nauk
, vol.385
-
-
Buchstaber, V.M.1
Leykin, D.V.2
-
15
-
-
0036660605
-
-
Transl.
-
Buchstaber, V. M. & Leykin, D. V. 2002b Graded Lie algebras that define hyperelliptic sigma functions. Dokl. Akad. Nauk 385. (Transl. Dokl. Math. Sci. 66, 87-90 (2002).)
-
(2002)
Dokl. Math. Sci.
, vol.66
, pp. 87-90
-
-
-
16
-
-
0005143576
-
-
Advances in Mathematical Sciences, AMS Translations, series 2. Moscow State University and University of Maryland, College Park, MD
-
Buchstaber, V. M., Enolskii, V. Z. & Leykin, D. V. 1997a Hyperelliptic Kleinian functions and applications, vol. 179, pp. 1-34. Advances in Mathematical Sciences, AMS Translations, series 2. Moscow State University and University of Maryland, College Park, MD.
-
(1997)
Hyperelliptic Kleinian Functions and Applications
, vol.179
, pp. 1-34
-
-
Buchstaber, V.M.1
Enolskii, V.Z.2
Leykin, D.V.3
-
17
-
-
0001937460
-
Kleinian functions, hyperelliptic Jacobians and applications
-
ed. S. P. Novikov & I. M. Krichever, London: Gordon and Breach
-
Buchstaber, V. M., Enolskii, V. Z. & Leykin, D. V. 1997b Kleinian functions, hyperelliptic Jacobians and applications. In Reviews in mathematics and mathematical physics (ed. S. P. Novikov & I. M. Krichever), vol. 10, pp. 1-125. London: Gordon and Breach.
-
(1997)
Reviews in Mathematics and Mathematical Physics
, vol.10
, pp. 1-125
-
-
Buchstaber, V.M.1
Enolskii, V.Z.2
Leykin, D.V.3
-
18
-
-
33645466195
-
Recursive family of polynomials generated by Sylvester's identity and addition theorem for hyperelliptic Kleinian functions
-
Buchstaber, V. M., Enolskii, V. Z. & Leykin, D. V. 1997c Recursive family of polynomials generated by Sylvester's identity and addition theorem for hyperelliptic Kleinian functions. Funct. Analysis Applic. 31, 19-32.
-
(1997)
Funct. Analysis Applic.
, vol.31
, pp. 19-32
-
-
Buchstaber, V.M.1
Enolskii, V.Z.2
Leykin, D.V.3
-
19
-
-
0039711075
-
Rational analogues of the Abelian functions
-
Buchstaber, V. M., Enolskii, V. Z. & Leykin, D. V. 1999 Rational analogues of the Abelian functions. Funct. Analysis Applic. 33, 1-15.
-
(1999)
Funct. Analysis Applic.
, vol.33
, pp. 1-15
-
-
Buchstaber, V.M.1
Enolskii, V.Z.2
Leykin, D.V.3
-
20
-
-
23044523679
-
Uniformisation of Jacobi varieties of trigonal curves and nonlinear differential equations
-
Buchstaber, V. M., Enolskii, V. Z. & Leykin, D. V. 2000 Uniformisation of Jacobi varieties of trigonal curves and nonlinear differential equations. Funct. Analysis Applic. 34, 1-15.
-
(2000)
Funct. Analysis Applic.
, vol.34
, pp. 1-15
-
-
Buchstaber, V.M.1
Enolskii, V.Z.2
Leykin, D.V.3
-
21
-
-
0035981758
-
Multidimensional Schrödinger equation with Abelian potential
-
Buchstaber, V. M., Eilbeck, J. C., Enolskii, V. Z., Leykin, D. V. & Salerno, M. 2002 Multidimensional Schrödinger equation with Abelian potential. J. Math. Phys. 43, 2858-2881.
-
(2002)
J. Math. Phys.
, vol.43
, pp. 2858-2881
-
-
Buchstaber, V.M.1
Eilbeck, J.C.2
Enolskii, V.Z.3
Leykin, D.V.4
Salerno, M.5
-
22
-
-
33645464248
-
Beiträge zur Theorie der hyperelliptische Sigmafunktionen
-
Burkhardt, H. 1888 Beiträge zur Theorie der hyperelliptische Sigmafunktionen. Math. Ann. 32, 381-442.
-
(1888)
Math. Ann.
, vol.32
, pp. 381-442
-
-
Burkhardt, H.1
-
23
-
-
33746455574
-
Quasi periodic solutions of Manakov type coupled nonlinear Schrödinger equations
-
Christiansen, P. L., Eilbeck, J. C., Enolskii, V. Z. & Kostov, N. A. 2000 Quasi periodic solutions of Manakov type coupled nonlinear Schrödinger equations. Proc. R. Soc. Lond. A 456, 2263-2281.
-
(2000)
Proc. R. Soc. Lond. A
, vol.456
, pp. 2263-2281
-
-
Christiansen, P.L.1
Eilbeck, J.C.2
Enolskii, V.Z.3
Kostov, N.A.4
-
24
-
-
0000487511
-
On quasi-periodic solutions of the field equation of the classical massive Thirring model
-
Date, E. 1978 On quasi-periodic solutions of the field equation of the classical massive Thirring model. Prog. Theor. Phys. 59, 265-273.
-
(1978)
Prog. Theor. Phys.
, vol.59
, pp. 265-273
-
-
Date, E.1
-
25
-
-
79551560610
-
Blowup formulas in Donaldson-Witten theory and integrable hierarchies
-
Edelstein, J. D., Gómez-Reino, M. & Marĩno, M. 2000 Blowup formulas in Donaldson-Witten theory and integrable hierarchies. Adv. Theor. Math. Phys. 4, 503-543.
-
(2000)
Adv. Theor. Math. Phys.
, vol.4
, pp. 503-543
-
-
Edelstein, J.D.1
Gómez-Reino, M.2
Marĩno, M.3
-
26
-
-
0034364977
-
Quasi periodic solutions for vector nonlinear Schrödinger equations
-
Eilbeck, J. C., Enolskii, V. Z. & Kostov, N. A. 2000a Quasi periodic solutions for vector nonlinear Schrödinger equations. J. Math. Phys. 41, 8236-8248.
-
(2000)
J. Math. Phys.
, vol.41
, pp. 8236-8248
-
-
Eilbeck, J.C.1
Enolskii, V.Z.2
Kostov, N.A.3
-
27
-
-
0002181064
-
On the Kleinian construction of Abelian functions of canonical algebraic curve
-
Centre de Recherches Mathématiques Proceedings Lecture Notes
-
Eilbeck, J. C., Enolskii, V. Z. & Leykin, D. V. 2000b On the Kleinian construction of Abelian functions of canonical algebraic curve. In Proc. Conf. SIDE III: Symmetries of Integrable Differences Equations, Saubadia, May 1998. Centre de Recherches Mathématiques Proceedings Lecture Notes, pp. 121-138.
-
(2000)
Proc. Conf. SIDE III: Symmetries of Integrable Differences Equations, Saubadia, May 1998
, pp. 121-138
-
-
Eilbeck, J.C.1
Enolskii, V.Z.2
Leykin, D.V.3
-
28
-
-
0038019337
-
The classical massive Thirring system revisited
-
(ed. F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. Röckner & S. Scarlatti). Canadian Mathematical Society Conference Proceeding Series, Providence, RI: American Mathematical Society
-
Enolskii, V. Z., Gesztesy, F. & Holden, H. 2000 The classical massive Thirring system revisited. In Stochastic processes, physics and geometry: new interplays. I. A volume in honor of Sergio Albeverio (ed. F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. Röckner & S. Scarlatti). Canadian Mathematical Society Conference Proceeding Series, pp. 163-200. Providence, RI: American Mathematical Society.
-
(2000)
Stochastic Processes, Physics and Geometry: New Interplays. I. A Volume in Honor of Sergio Albeverio
, pp. 163-200
-
-
Enolskii, V.Z.1
Gesztesy, F.2
Holden, H.3
-
32
-
-
84929898290
-
Theoriae transcendentium Abelianarum primi ordinis adumbratio levis
-
Göpel, G. 1847 Theoriae transcendentium Abelianarum primi ordinis adumbratio levis. J. Reine Angew. Math. 35, 277-312.
-
(1847)
J. Reine Angew. Math.
, vol.35
, pp. 277-312
-
-
Göpel, G.1
-
33
-
-
0003146316
-
A generalization of a formula of Eisenstein
-
Grant, D. 1991 A generalization of a formula of Eisenstein. Proc. Lond. Math. Soc. 62, 121-132.
-
(1991)
Proc. Lond. Math. Soc.
, vol.62
, pp. 121-132
-
-
Grant, D.1
-
35
-
-
0039327970
-
The Thirring model as an approximation to the theory of two-photon propagation
-
Kamchatnov, A. M., Steudel, H. & Zabolotskii, A. A. 1997 The Thirring model as an approximation to the theory of two-photon propagation. J. Phys. A 30, 7485-7499.
-
(1997)
J. Phys. A
, vol.30
, pp. 7485-7499
-
-
Kamchatnov, A.M.1
Steudel, H.2
Zabolotskii, A.A.3
-
36
-
-
0009886010
-
Über hyperelliptische Sigmafunctionen
-
Klein, F. 1886 Über hyperelliptische Sigmafunctionen. Math. Ann. 27, 431-464.
-
(1886)
Math. Ann.
, vol.27
, pp. 431-464
-
-
Klein, F.1
-
37
-
-
0040446609
-
Über hyperelliptische Sigmafunctionen
-
Klein, F. 1888 Über hyperelliptische Sigmafunctionen. Math. Ann. 32, 351-380.
-
(1888)
Math. Ann.
, vol.32
, pp. 351-380
-
-
Klein, F.1
-
38
-
-
0000729472
-
On the complete integrability of the two-dimensional classical Thirring model
-
Kuznetsov, E. A. & Mikhailov, A. V. 1977 On the complete integrability of the two-dimensional classical Thirring model. Theor. Math. Phys. 30, 193-200.
-
(1977)
Theor. Math. Phys.
, vol.30
, pp. 193-200
-
-
Kuznetsov, E.A.1
Mikhailov, A.V.2
-
39
-
-
0035827486
-
Hyperelliptic solutions of KdV and KP equations: Reevaluation of Baker's study on hyperelliptic sigma functions
-
Matsutani, S. 2001 Hyperelliptic solutions of KdV and KP equations: reevaluation of Baker's study on hyperelliptic sigma functions. J. Phys. A 34, 4721-4732.
-
(2001)
J. Phys. A
, vol.34
, pp. 4721-4732
-
-
Matsutani, S.1
-
40
-
-
0039080735
-
Integrability of the two-dimensional Thirring model
-
Mikhailov, A. B. 1976 Integrability of the two-dimensional Thirring model. JETP Lett. 23, 320-323.
-
(1976)
JETP Lett.
, vol.23
, pp. 320-323
-
-
Mikhailov, A.B.1
-
41
-
-
0001341733
-
Complex multiplication formulas for hyperelliptic curve of genus three
-
Ônishi, Y. 1998 Complex multiplication formulas for hyperelliptic curve of genus three. Tokyo J. Math. 21, 381-431.
-
(1998)
Tokyo J. Math.
, vol.21
, pp. 381-431
-
-
Ônishi, Y.1
-
42
-
-
0036771194
-
Determinant expressions for some Abelian functions in genus two
-
Ônishi, Y. 2002a Determinant expressions for some Abelian functions in genus two. Glasgow Math. J. 44, 353-364.
-
(2002)
Glasgow Math. J.
, vol.44
, pp. 353-364
-
-
Ônishi, Y.1
-
45
-
-
1542771486
-
Abhandlung uber die Funktionen zweier Variabler mit vier Perioden
-
Rosenhain, G. 1851 Abhandlung uber die Funktionen zweier Variabler mit vier Perioden. Mem. Pres. l'Acad Sci. France des Savants IX, 361-455.
-
(1851)
Mem. Pres. l'Acad Sci. France des Savants
, vol.9
, pp. 361-455
-
-
Rosenhain, G.1
-
46
-
-
0010810621
-
A solvable relativistic field theory
-
Thirring, W. E. 1958 A solvable relativistic field theory. Ann. Phys. 3, 91-112.
-
(1958)
Ann. Phys.
, vol.3
, pp. 91-112
-
-
Thirring, W.E.1
-
48
-
-
84941430909
-
Zur Theorie der Abelschen Functionen
-
Weierstrass, K. 1854 Zur Theorie der Abelschen Functionen. J. Reine Angew. Math. 47, 289-306.
-
(1854)
J. Reine Angew. Math.
, vol.47
, pp. 289-306
-
-
Weierstrass, K.1
-
50
-
-
0011010649
-
Ueber die Potenzreihen der hyperelliptischen Thetafunktionen
-
Wiltheiss, E. 1888 Ueber die Potenzreihen der hyperelliptischen Thetafunktionen. Math. Ann. 31, 410-423.
-
(1888)
Math. Ann.
, vol.31
, pp. 410-423
-
-
Wiltheiss, E.1
-
51
-
-
0009154915
-
Darboux coordinates and isospectral Hamiltonian flows
-
Wisse, M. A. 1993 Darboux coordinates and isospectral Hamiltonian flows. Lett. Math. Phys. 28, 287-294.
-
(1993)
Lett. Math. Phys.
, vol.28
, pp. 287-294
-
-
Wisse, M.A.1
|