-
1
-
-
0040980523
-
Sur la détermination explicite des équations différentielles du second ordre à points critiques fixes
-
Painlevé P 1898 Sur la détermination explicite des équations différentielles du second ordre à points critiques fixes Comptes Rendus 127 945-8
-
(1898)
Comptes Rendus
, vol.127
, pp. 945-948
-
-
Painlevé, P.1
-
3
-
-
0001039036
-
Sur les équations différentielles du second ordre à points critiques fixes
-
Painlevé P 1906 Sur les équations différentielles du second ordre à points critiques fixes Comptes Rendus 143 1111-7
-
(1906)
Comptes Rendus
, vol.143
, pp. 1111-1117
-
-
Painlevé, P.1
-
6
-
-
0018506677
-
Slowly varying jump and transition phenomena associated with algebraic bifurcation problems
-
Haberman R 1979 Slowly varying jump and transition phenomena associated with algebraic bifurcation problems J. Appl. Math. 51 69-106 Haberman R 2001 Slow passage through the nonhyperbolic homoclinic orbit associated with a subcritical pitchfork bifurcation for Hamiltonian systems and the change in action SIAM J. Appl. Math. 62 488-513
-
(1979)
J. Appl. Math.
, vol.51
, pp. 69-106
-
-
Haberman, R.1
-
7
-
-
0036252823
-
Slow passage through the nonhyperbolic homoclinic orbit associated with a subcritical pitchfork bifurcation for Hamiltonian systems and the change in action
-
Haberman R 1979 Slowly varying jump and transition phenomena associated with algebraic bifurcation problems J. Appl. Math. 51 69-106 Haberman R 2001 Slow passage through the nonhyperbolic homoclinic orbit associated with a subcritical pitchfork bifurcation for Hamiltonian systems and the change in action SIAM J. Appl. Math. 62 488-513
-
(2001)
SIAM J. Appl. Math.
, vol.62
, pp. 488-513
-
-
Haberman, R.1
-
8
-
-
0001176641
-
Strings in less than one dimension
-
Douglas M and Shenker S 1990 Strings in less than one dimension Nucl. Phys. B 335 635-54
-
(1990)
Nucl. Phys. B
, vol.335
, pp. 635-654
-
-
Douglas, M.1
Shenker, S.2
-
9
-
-
0042052641
-
A nonperturbative treatment of two-dimensional quantum gravity
-
Gross D and Migdal A 1990 A nonperturbative treatment of two-dimensional quantum gravity Nucl. Phys. B 340 333-65
-
(1990)
Nucl. Phys. B
, vol.340
, pp. 333-365
-
-
Gross, D.1
Migdal, A.2
-
10
-
-
0000533283
-
Discrete Painlevé equations and their appearance in quantum gravity
-
Fokas A S, Its A R and Kitaev A V 1991 Discrete Painlevé equations and their appearance in quantum gravity Commun. Math. Phys. 142 313-44 Fokas A S, Its A R and Kitaev A V 1992 The isomonodromy approach to matrix models in 2D quantum gravity Commun. Math. Phys. 147 395-430
-
(1991)
Commun. Math. Phys.
, vol.142
, pp. 313-344
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
11
-
-
0001283085
-
The isomonodromy approach to matrix models in 2D quantum gravity
-
Fokas A S, Its A R and Kitaev A V 1991 Discrete Painlevé equations and their appearance in quantum gravity Commun. Math. Phys. 142 313-44 Fokas A S, Its A R and Kitaev A V 1992 The isomonodromy approach to matrix models in 2D quantum gravity Commun. Math. Phys. 147 395-430
-
(1992)
Commun. Math. Phys.
, vol.147
, pp. 395-430
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
12
-
-
0035931689
-
Fermionic quantum gravity
-
Paniak L D and Szabo R J 2001 Fermionic quantum gravity Nucl. Phys. B 593 671-725
-
(2001)
Nucl. Phys. B
, vol.593
, pp. 671-725
-
-
Paniak, L.D.1
Szabo, R.J.2
-
13
-
-
0242290720
-
Matrix models of two-dimensional quantum gravity, and isomonodromic solutions of Painlevé 'discrete equations'
-
Fokas A S, Its A R and Kitaev A V 1991 Matrix models of two-dimensional quantum gravity, and isomonodromic solutions of Painlevé 'discrete equations' Zap. Nauchn. Sem. LOMI 187 3-30 Fokas A S, Its A R and Kitaev A V 1991 J. Math. Sci. 73 415-29 (Engl. transl.)
-
(1991)
Zap. Nauchn. Sem. LOMI
, vol.187
, pp. 3-30
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
14
-
-
0242290720
-
-
Engl. transl.
-
Fokas A S, Its A R and Kitaev A V 1991 Matrix models of two-dimensional quantum gravity, and isomonodromic solutions of Painlevé 'discrete equations' Zap. Nauchn. Sem. LOMI 187 3-30 Fokas A S, Its A R and Kitaev A V 1991 J. Math. Sci. 73 415-29 (Engl. transl.)
-
(1991)
J. Math. Sci.
, vol.73
, pp. 415-429
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
15
-
-
3943105450
-
Monodromy approach to the scaling limits in isomonodromy systems
-
Preprint nlin.SI/0211022
-
Kapaev A 2003 Monodromy approach to the scaling limits in isomonodromy systems Theor. Math. Phys. 137 1691-702 (Preprint nlin.SI/0211022)
-
(2003)
Theor. Math. Phys.
, vol.137
, pp. 1691-1702
-
-
Kapaev, A.1
-
16
-
-
0037054247
-
Viscous fingering and a shape of an electronic droplet in a quantum Hall regime
-
Preprint cond-mat/0111333
-
Agam O, Bettelheim E, Wiegmann P and Zabrodin A 2002 Viscous fingering and a shape of an electronic droplet in a quantum Hall regime Phys. Rev. Lett. 88 236801 (Preprint cond-mat/0111333)
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 236801
-
-
Agam, O.1
Bettelheim, E.2
Wiegmann, P.3
Zabrodin, A.4
-
17
-
-
0001428962
-
Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory
-
Novikov S P 1990 Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory Funct. Anal. Appl. 24 296-306
-
(1990)
Funct. Anal. Appl.
, vol.24
, pp. 296-306
-
-
Novikov, S.P.1
-
19
-
-
0011316309
-
Large order behaviour of 2D gravity coupled to D < 1 matter
-
Eynard B and Zinn-Justin J 1993 Large order behaviour of 2D gravity coupled to D < 1 matter Phys. Lett. B 302 394-402
-
(1993)
Phys. Lett. B
, vol.302
, pp. 394-402
-
-
Eynard, B.1
Zinn-Justin, J.2
-
22
-
-
0000779505
-
Recherches sur les transcendantes de M Painlevé et l'etude asymptotique des équations différentielles du second ordre
-
Boutroux P 1913 Recherches sur les transcendantes de M Painlevé et l'etude asymptotique des équations différentielles du second ordre Ann. Sci. Ecol. Norm. Supér. 30 255-376 Boutroux P 1914 Ann. Sci. Ecol. Norm. Supér. 31 99-159
-
(1913)
Ann. Sci. Ecol. Norm. Supér.
, vol.30
, pp. 255-376
-
-
Boutroux, P.1
-
23
-
-
0010860420
-
-
Boutroux P 1913 Recherches sur les transcendantes de M Painlevé et l'etude asymptotique des équations différentielles du second ordre Ann. Sci. Ecol. Norm. Supér. 30 255-376 Boutroux P 1914 Ann. Sci. Ecol. Norm. Supér. 31 99-159
-
(1914)
Ann. Sci. Ecol. Norm. Supér.
, vol.31
, pp. 99-159
-
-
Boutroux, P.1
-
25
-
-
0021517228
-
On a Painlevé-type boundary-value problem
-
Holmes P and Spence D 1984 On a Painlevé-type boundary-value problem Q. J. Mech. Appl. Math. 37 525-38
-
(1984)
Q. J. Mech. Appl. Math.
, vol.37
, pp. 525-538
-
-
Holmes, P.1
Spence, D.2
-
27
-
-
0041028921
-
On Boutroux tritronquée solutions of the first Painlevé equation
-
Joshi N and Kitaev A 2001 On Boutroux tritronquée solutions of the first Painlevé equation Stud. Appl. Math. 107 253-91
-
(2001)
Stud. Appl. Math.
, vol.107
, pp. 253-291
-
-
Joshi, N.1
Kitaev, A.2
-
28
-
-
0000621503
-
An asymptotic approach to the connection problem for the first and the second Painlevé equations
-
Joshi N and Kruskal M D 1988 An asymptotic approach to the connection problem for the first and the second Painlevé equations Phys. Lett. A 130 129-37
-
(1988)
Phys. Lett. A
, vol.130
, pp. 129-137
-
-
Joshi, N.1
Kruskal, M.D.2
-
29
-
-
0040821544
-
The Painlevé connection problem: An asymptotic approach
-
Joshi N and Kruskal M D 1992 The Painlevé connection problem: an asymptotic approach. I Stud. Appl. Math. 86 315-76
-
(1992)
I Stud. Appl. Math.
, vol.86
, pp. 315-376
-
-
Joshi, N.1
Kruskal, M.D.2
-
30
-
-
49149137872
-
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients
-
Jimbo M, Miwa T and Ueno K 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients Physica D 2 306-52 Jimbo M and Miwa T 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II Physica D 2 407-48 Jimbo M and Miwa T 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III Physica D 4 26-46
-
(1981)
Physica D
, vol.2
, pp. 306-352
-
-
Jimbo, M.1
Miwa, T.2
Ueno, K.3
-
31
-
-
49049148970
-
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients
-
Jimbo M, Miwa T and Ueno K 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients Physica D 2 306-52 Jimbo M and Miwa T 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II Physica D 2 407-48 Jimbo M and Miwa T 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III Physica D 4 26-46
-
(1981)
II Physica D
, vol.2
, pp. 407-448
-
-
Jimbo, M.1
Miwa, T.2
-
32
-
-
49049152822
-
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients
-
Jimbo M, Miwa T and Ueno K 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients Physica D 2 306-52 Jimbo M and Miwa T 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II Physica D 2 407-48 Jimbo M and Miwa T 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III Physica D 4 26-46
-
(1981)
III Physica D
, vol.4
, pp. 26-46
-
-
Jimbo, M.1
Miwa, T.2
-
33
-
-
34250256469
-
Monodromy- and spectrum-preserving deformations I
-
Flaschka H and Newell A C 1980 Monodromy- and spectrum-preserving deformations I Commun. Math. Phys. 76 65-116
-
(1980)
Commun. Math. Phys.
, vol.76
, pp. 65-116
-
-
Flaschka, H.1
Newell, A.C.2
-
35
-
-
0003172947
-
Asymptotics of solutions of the Painlevé equation of the first kind
-
Kapaev A A 1989 Asymptotics of solutions of the Painlevé equation of the first kind Diff. Eqns. 24 1107-15 Kapaev A A 1988 Diff. Uravnenija 24 1684-95 (in Russian)
-
(1989)
Diff. Eqns.
, vol.24
, pp. 1107-1115
-
-
Kapaev, A.A.1
-
36
-
-
0010871206
-
-
in Russian
-
Kapaev A A 1989 Asymptotics of solutions of the Painlevé equation of the first kind Diff. Eqns. 24 1107-15 Kapaev A A 1988 Diff. Uravnenija 24 1684-95 (in Russian)
-
(1988)
Diff. Uravnenija
, vol.24
, pp. 1684-1695
-
-
Kapaev, A.A.1
-
37
-
-
0007119857
-
Connection formulae for the first Painlevé transcendent in the complex domain
-
Kapaev A A and Kitaev A V 1993 Connection formulae for the first Painlevé transcendent in the complex domain Lett. Math. Phys. 27 243-52
-
(1993)
Lett. Math. Phys.
, vol.27
, pp. 243-252
-
-
Kapaev, A.A.1
Kitaev, A.V.2
-
38
-
-
3943081642
-
Monodromy deformation approach to the scaling limit of the Painlevé first equation
-
Preprint nlin.SI/0105002
-
Kapaev A 2002 Monodromy deformation approach to the scaling limit of the Painlevé first equation CRM Proc. Lect. Notes 32 157-79 (Preprint nlin.SI/0105002)
-
(2002)
CRM Proc. Lect. Notes
, vol.32
, pp. 157-179
-
-
Kapaev, A.1
-
39
-
-
0038969942
-
On the connection formula for the first Painlevé equation - From the viewpoint of the exact WKB analysis
-
Takei Y 1995 On the connection formula for the first Painlevé equation - from the viewpoint of the exact WKB analysis Sūrikaisekikenkyūsho Kōkyūroku 931 70-99
-
(1995)
Sūrikaisekikenkyūsho Kōkyūroku
, vol.931
, pp. 70-99
-
-
Takei, Y.1
-
40
-
-
0242276318
-
Quasi-linear Stokes phenomenon for the second Painlevé transcendent
-
Preprint nlin.SI/0108010
-
Its A R and Kapaev A A 2003 Quasi-linear Stokes phenomenon for the second Painlevé transcendent Nonlinearity 16 363-86 (Preprint nlin.SI/0108010)
-
(2003)
Nonlinearity
, vol.16
, pp. 363-386
-
-
Its, A.R.1
Kapaev, A.A.2
-
41
-
-
0001525213
-
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
-
Deift P A and Zhou X 1995 A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation Ann. Math. 137 295-368
-
(1995)
Ann. Math.
, vol.137
, pp. 295-368
-
-
Deift, P.A.1
Zhou, X.2
-
42
-
-
0036807120
-
An entire function defined by a nonlinear recurrence relation
-
Hone A N W, Joshi N and Kitaev A V 2002 An entire function defined by a nonlinear recurrence relation J. Land. Math. Soc. 66 377-86
-
(2002)
J. Land. Math. Soc.
, vol.66
, pp. 377-386
-
-
Hone, A.N.W.1
Joshi, N.2
Kitaev, A.V.3
-
43
-
-
0031542256
-
Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation
-
Andreev F V and Kitaev A V 1997 Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation Math. Res. Lett. 4 741-59
-
(1997)
Math. Res. Lett.
, vol.4
, pp. 741-759
-
-
Andreev, F.V.1
Kitaev, A.V.2
-
44
-
-
0002712004
-
Sur les équations différentielles du troisie ordre dont l'intégrale générale est uniforme et sur une classe d'quations nouvelles d'ordre supérieur dont l'intégrale générale a ses points critique fixes
-
Gamier R 1912 Sur les équations différentielles du troisie ordre dont l'intégrale générale est uniforme et sur une classe d'quations nouvelles d'ordre supérieur dont l'intégrale générale a ses points critique fixes Ann. Sci. École Norm. Sup. 29 1-126
-
(1912)
Ann. Sci. École Norm. Sup.
, vol.29
, pp. 1-126
-
-
Gamier, R.1
-
45
-
-
0346591990
-
Solution du problm̀e de Riemann pour les systm̀es différentielles linéaires du second ordre
-
Gamier R 1926 Solution du problm̀e de Riemann pour les systm̀es différentielles linéaires du second ordre Ann. Sci. École Norm. Sup. 43 177-307
-
(1926)
Ann. Sci. École Norm. Sup.
, vol.43
, pp. 177-307
-
-
Gamier, R.1
-
49
-
-
34249773745
-
Long-time asymptotics for integrable systems. Higher order theory
-
Deift P and Zhou X 1995 Long-time asymptotics for integrable systems. Higher order theory Commun. Math. Phys. 165 175-91
-
(1995)
Commun. Math. Phys.
, vol.165
, pp. 175-191
-
-
Deift, P.1
Zhou, X.2
|