-
1
-
-
51249180884
-
Nonlinear evolution equations and ordinary differential equations of Painlevé type
-
Ablowitz M J, Ramani A and Segur H, Nonlinear evolution equations and ordinary differential equations of Painlevé type, Lett. Nuovo Cimenta 23 (1978), 333-338;
-
(1978)
Lett. Nuovo Cimenta
, vol.23
, pp. 333-338
-
-
Ablowitz, M.J.1
Ramani, A.2
Segur, H.3
-
2
-
-
36749106124
-
A connection between nonlinear evolution equations and ordinary differential equations of P-type. i & II
-
A connection between nonlinear evolution equations and ordinary differential equations of P-type. I & II, J. Math. Phys. 21 (1980), 715-721, & 1006-1015.
-
(1980)
J. Math. Phys.
, vol.21
, pp. 715-721
-
-
-
3
-
-
32244440563
-
Simple trajectories in the rotation-symmetrical gravitational field
-
Antonov V A and Timoshkova E I, Simple trajectories in the rotation-symmetrical gravitational field, Russ. Astron. J. 70 (1993), 265-276.
-
(1993)
Russ. Astron. J.
, vol.70
, pp. 265-276
-
-
Antonov, V.A.1
Timoshkova, E.I.2
-
6
-
-
32244431652
-
Theórie des fonctions elliptiques. Deuxiéme édition
-
Gauthier-Villars, Imprimeur-Libraire, Paris
-
Briot C A A and Bouquet J C, Theórie des fonctions elliptiques. Deuxiéme édition, Gauthier-Villars, Imprimeur-Libraire, Paris, 1875. On-line version: The Cornell Library Hist. Math. Monographs, http://historical.library.Cornell.edu/
-
(1875)
On-line Version: The Cornell Library Hist. Math. Monographs
-
-
Briot, C.A.A.1
Bouquet, J.C.2
-
7
-
-
0347792330
-
On the analytic structure of the Hénon-Heiles system
-
Chang Y F, Tabor M, Weiss J and Corliss G, On the Analytic Structure of the Hénon-Heiles System, Phys. Lett. A 85 (1981), 211-213.
-
(1981)
Phys. Lett. A
, vol.85
, pp. 211-213
-
-
Chang, Y.F.1
Tabor, M.2
Weiss, J.3
Corliss, G.4
-
8
-
-
36749106140
-
Analytic structure of the Hénon-Heiles Hamiltonian in integrable and nonintegrable regimes
-
Chang Y F, Tabor M and Weiss J, Analytic Structure of the Hénon-Heiles Hamiltonian in integrable and nonintegrable regimes, J. Math. Phys. 23 (1982), 531-538.
-
(1982)
J. Math. Phys.
, vol.23
, pp. 531-538
-
-
Chang, Y.F.1
Tabor, M.2
Weiss, J.3
-
9
-
-
21144479106
-
Link between solitary waves and projective Riccati equations
-
Conte R and Musette M, Link between solitary waves and projective Riccati equations, J. Phys. A 25 (1992), 5609-5623.
-
(1992)
J. Phys. A
, vol.25
, pp. 5609-5623
-
-
Conte, R.1
Musette, M.2
-
10
-
-
31044450316
-
Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation
-
Conte R and Musette M, Linearity inside nonlinearity: exact solutions to the complex Ginzburg-Landau equation, Physica D 69 (1993), 1-17.
-
(1993)
Physica D
, vol.69
, pp. 1-17
-
-
Conte, R.1
Musette, M.2
-
12
-
-
27844565225
-
Explicit integration of the Hénon-Heiles Hamiltonians
-
[arXiv:nlin.SI/0412057]
-
Conte R, Musette M and Verhoeven C, Explicit integration of the Hénon-Heiles Hamiltonians, J. of Nonlin. Math. Phys. 12 (Supplement 1) (2005), 212-227 [arXiv:nlin.SI/0412057].
-
(2005)
J. of Nonlin. Math. Phys.
, vol.12
, Issue.1 SUPPL.
, pp. 212-227
-
-
Conte, R.1
Musette, M.2
Verhoeven, C.3
-
13
-
-
0003426880
-
-
Masson, Paris, New York
-
Davenport J H, Siret Y and Tournier E, Calcul Formel, Systemes et Algorithmes de Manipulations Algebriques, Masson, Paris, New York, 1987.
-
(1987)
Calcul Formel, Systemes et Algorithmes de Manipulations Algebriques
-
-
Davenport, J.H.1
Siret, Y.2
Tournier, E.3
-
14
-
-
33744717939
-
Modeling the fifth dimension with scalars and gravity
-
[arXiv:hep-th/9909134]
-
DeWolfe O, Freedman D Z, Gubser S S and Karch A, Modeling the fifth dimension with scalars and gravity, Phys. Rev. D 62 (2000), 046008 [arXiv:hep-th/9909134].
-
(2000)
Phys. Rev. D
, vol.62
, pp. 046008
-
-
DeWolfe, O.1
Freedman, D.Z.2
Gubser, S.S.3
Karch, A.4
-
16
-
-
0008769343
-
Four-dimensional gravity on a thick domain wall
-
[arXiv:hep-th/9912060]
-
Gremm M, Four-dimensional gravity on a thick domain wall, Phys. Lett. B 478 (2000), 434-438 [arXiv:hep-th/9912060];
-
(2000)
Phys. Lett. B
, vol.478
, pp. 434-438
-
-
Gremm, M.1
-
17
-
-
4243593526
-
Thick domain walls and singular spaces
-
[arXiv:hep-th/0002040]
-
Thick domain walls and singular spaces, Phys. Rev. D 62 (2000), 044017 [arXiv:hep-th/0002040].
-
(2000)
Phys. Rev. D
, vol.62
, pp. 044017
-
-
-
18
-
-
0004413317
-
Exact periodic steady solutions for nonlinear wave equations: A new approach
-
Grimshaw R and Pavlov M, Exact periodic steady solutions for nonlinear wave equations: A new approach, Phys. Lett. A 251 (1999), 25-30.
-
(1999)
Phys. Lett. A
, vol.251
, pp. 25-30
-
-
Grimshaw, R.1
Pavlov, M.2
-
19
-
-
0038759689
-
An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolutions equations
-
Fan E, An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolutions equations, J. of Phys. A 36 (2003), 7009-7026.
-
(2003)
J. of Phys. A
, vol.36
, pp. 7009-7026
-
-
Fan, E.1
-
20
-
-
32244435574
-
Gesammelte mathematische Werke von L. Fuchs
-
Hrsg. von Richard Fuchs und Ludwig Schlesinger, Berlin, Mayer & Müller
-
von Fuchs L, Gesammelte mathematische Werke von L. Fuchs. Hrsg. von Richard Fuchs und Ludwig Schlesinger, Berlin, Mayer & Müller, 1904-1909. On-line version: The Cornell Library of Historical Mathematics Monographs; http : //historical.library.cornell.edu/
-
(1904)
On-line Version: The Cornell Library of Historical Mathematics Monographs
-
-
Von Fuchs, L.1
-
21
-
-
0002519122
-
The applicability of the third integral of motion: Some numerical experiments
-
Hénon M. and Heiles C., The applicability of the third integral of motion: some numerical experiments, Astron. J. 69 (1964), 73-79.
-
(1964)
Astron. J.
, vol.69
, pp. 73-79
-
-
Hénon, M.1
Heiles, C.2
-
23
-
-
19944371736
-
Non-existence of elliptic travelling wave solutions of the complex Ginzburg-Landau equation
-
Hone A N W, Non-existence of elliptic travelling wave solutions of the complex Ginzburg-Landau equation, Physica D 205 (2005), 292-306.
-
(2005)
Physica D
, vol.205
, pp. 292-306
-
-
Hone, A.N.W.1
-
27
-
-
0040481126
-
Gravitational waves from the Hénon-Heiles system
-
Kokubun F, Gravitational waves from the Hénon-Heiles system, Phys. Rev. D 57 (1998), 2610-2612.
-
(1998)
Phys. Rev. D
, vol.57
, pp. 2610-2612
-
-
Kokubun, F.1
-
28
-
-
34250579023
-
Sur le problème de la rotation d'un corps solide autour d'un point fixe
-
Kowalevski S, Sur le problème de la rotation d'un corps solide autour d'un point fixe, Acta Mathematica 12 (1889), 177-232;
-
(1889)
Acta Mathematica
, vol.12
, pp. 177-232
-
-
Kowalevski, S.1
-
29
-
-
34250581889
-
Sur une properiété du systéme d'équations différentielles qui définit la rotation d'un corps solide autour d'un point fixe
-
{in French}
-
Sur une properiété du systéme d'équations différentielles qui définit la rotation d'un corps solide autour d'un point fixe, Acta Mathematica 14 (1890), 81-93, {in French}.
-
(1890)
Acta Mathematica
, vol.14
, pp. 81-93
-
-
-
30
-
-
32244434739
-
-
Reprinted in: AS USSR Publ. House, Moscow, {in Russian}
-
Reprinted in: Kovalevskaya S V, Scientific Works, AS USSR Publ. House, Moscow, 1948, {in Russian}.
-
(1948)
Scientific Works
-
-
Kovalevskaya, S.V.1
-
31
-
-
10044227192
-
Traveling wave solutions of the Camassa-Holm Korteweg-de vries equations
-
Lenells J, Traveling Wave Solutions of the Camassa-Holm and Korteweg-de Vries Equations, J. of Nonlin. Math. Phys. 11 (2004), 508-520.
-
(2004)
J. of Nonlin. Math. Phys.
, vol.11
, pp. 508-520
-
-
Lenells, J.1
-
32
-
-
0347162180
-
Psi-series solutions of the cubic Hénon-Heiles system and their convergence
-
[arXiv:math.DS/9904186]
-
Melkonian S, Psi-series solutions of the cubic Hénon-Heiles system and their convergence, J. Nonlin. Math. Phys. 6 (1999), 139-160 [arXiv:math.DS/9904186],
-
(1999)
J. Nonlin. Math. Phys.
, vol.6
, pp. 139-160
-
-
Melkonian, S.1
-
33
-
-
0038009288
-
Analytic solitary waves of nonintegrable equations
-
arXiv:nlin.PS/0302051
-
Musette M and Conte R, Analytic solitary waves of nonintegrable equations, Physica D 181 (2003) 70-79 [arXiv:nlin.PS/0302051.
-
(2003)
Physica D
, vol.181
, pp. 70-79
-
-
Musette, M.1
Conte, R.2
-
35
-
-
0003825801
-
-
(Septembre, Octobre, Novembre 1895) sur L'invitation de S. M. le Roi de Suède et de Norwège, Hermann, Paris
-
Painlevé P., Leçons sur la théorie analytique des équations différentielles, professées à Stockholm (septembre, octobre, novembre 1895) sur l'invitation de S. M. le roi de Suède et de Norwège, Hermann, Paris, 1897;
-
(1897)
Leçons sur la Théorie Analytique des Équations Différentielles, Professées À Stockholm
-
-
Painlevé, P.1
-
37
-
-
4243859076
-
Chaos in pp-wave spacetime
-
Podolský Ji and Veselý K, Chaos in pp-wave spacetime, Phys. Rev. D 58 (1998), 081501.
-
(1998)
Phys. Rev. D
, vol.58
, pp. 081501
-
-
Podolský, Ji.1
Veselý, K.2
-
38
-
-
0000346840
-
Some general periodic solutions to coupled nonlinear Schrödenger equations
-
Porubov A V and Parker D F, Some general periodic solutions to coupled nonlinear Schrödenger equations, Wave Motion 29 (1999), 97-109.
-
(1999)
Wave Motion
, vol.29
, pp. 97-109
-
-
Porubov, A.V.1
Parker, D.F.2
-
39
-
-
0242679852
-
Application of finite expansion in elliptic functions to solve differential eduations
-
Santos G S, Application of Finite Expansion in Elliptic Functions to Solve Differential Eduations, J. of the Physical Society of Japan 58 (1989), 4301-4310.
-
(1989)
J. of the Physical Society of Japan
, vol.58
, pp. 4301-4310
-
-
Santos, G.S.1
-
40
-
-
27844516986
-
A new class of trajectories of motion in the Hénon-Heiles potential field
-
{in Russian}
-
Timoshkova E I, A New class of trajectories of motion in the Hénon-Heiles potential field, Astron. Zh. 76 (1999), 470-475 {in Russian};
-
(1999)
Astron. Zh.
, vol.76
, pp. 470-475
-
-
Timoshkova, E.I.1
-
41
-
-
0033244205
-
-
{in English}
-
Astron. Rep., 43 (1999), 406-411, {in English}.
-
(1999)
Astron. Rep.
, vol.43
, pp. 406-411
-
-
-
43
-
-
0035981840
-
Integration of a generalized Hénon-Heiles Hamiltonian
-
arXiv:nlin.SI/0112030
-
Verhoeven C, Musette M and Conte R, Integration of a generalized Hénon-Heiles Hamiltonian, J. Math. Phys. 43 (2002), 1906-1915 [arXiv:nlin.SI/0112030.
-
(2002)
J. Math. Phys.
, vol.43
, pp. 1906-1915
-
-
Verhoeven, C.1
Musette, M.2
Conte, R.3
-
44
-
-
32244435206
-
General solution for Hamiltonians with extended cubic and quadric potentials
-
{in Russian}
-
Verhoeven C, Musette M and Conte R, General solution for Hamiltonians with extended cubic and quadric potentials, Tear. Mat. Fiz. 134 (2003), 148-159 {in Russian},
-
(2003)
Tear. Mat. Fiz.
, vol.134
, pp. 148-159
-
-
Verhoeven, C.1
Musette, M.2
Conte, R.3
-
45
-
-
0037236205
-
-
{in English} [arXiv:nlin.SI/0301011]
-
Theor. Math. Phys. 134 (2003), 128 {in English} [arXiv:nlin.SI/0301011],
-
(2003)
Theor. Math. Phys.
, vol.134
, pp. 128
-
-
-
46
-
-
0037865558
-
Constructing solutions for the generalized Hénon-Heiles system through the Painlevé test
-
{in Russian}
-
Vernov S Yu, Constructing solutions for the generalized Hénon-Heiles system through the Painlevé test, Tear. Mat. Fiz. 135 (2003), 409-419 {in Russian},
-
(2003)
Tear. Mat. Fiz.
, vol.135
, pp. 409-419
-
-
Vernov, S.Yu.1
-
47
-
-
0037865558
-
-
{in English} [arXiv:math-ph/0209063]
-
Theor. Math. Phys. 135 (2003), 792-801 {in English} [arXiv:math-ph/ 0209063].
-
(2003)
Theor. Math. Phys.
, vol.135
, pp. 792-801
-
-
-
48
-
-
31044436413
-
Construction of single-valued solutions for nonintegrable systems with the help of the painlevé test
-
Editors: Ganzha V G, Mayr E W and Vorozhtsov E V, Technische Universitat, Munchen, Garching, [arXiv:nlin.SI/0407062]
-
Vernov S Yu, Construction of Single-valued Solutions for Nonintegrable Systems with the Help of the Painlevé Test, in: Proc. of the International Conference "Computer Algebra in Scientific Computing" (CASC'04, St. Petersburg, Russia, 2004), Editors: Ganzha V G, Mayr E W and Vorozhtsov E V, Technische Universitat, Munchen, Garching, 2004, 457-465 [arXiv:nlin.SI/0407062].
-
(2004)
Proc. of the International Conference "Computer Algebra in Scientific Computing" (CASC'04, St. Petersburg, Russia, 2004)
, pp. 457-465
-
-
Vernov, S.Yu.1
-
51
-
-
0009125464
-
Bäcklund transformation and linearizations of the Hénon-Heiles system
-
Weiss J, Bäcklund Transformation and Linearizations of the Hénon-Heiles System, Phys. Lett. A 102 (1984), 329-331.
-
(1984)
Phys. Lett. A
, vol.102
, pp. 329-331
-
-
Weiss, J.1
-
52
-
-
0000532111
-
Backhand transformation and the Hénon-Heiles system
-
Weiss J, Backhand Transformation and the Hénon-Heiles System, Phys. Lett. A 105 (1984), 387-389.
-
(1984)
Phys. Lett. A
, vol.105
, pp. 387-389
-
-
Weiss, J.1
-
53
-
-
14144251108
-
The extended Fan's sub-equation method and its application to KdV-MkdV, BKK and variant Boussinesq equations
-
Yomba E, The extended Fan's sub-equation method and its application to KdV-MkdV, BKK and variant Boussinesq equations, Phys Lett. A 336 (2005), 463-476.
-
(2005)
Phys Lett. A
, vol.336
, pp. 463-476
-
-
Yomba, E.1
|