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Journal of Computational and Applied Mathematics

Volumn 153, Issue 1-2, 2003, Pages 127-140

Painlevé equations - nonlinear special functions

(1) Clarkson, P T a

a UNIVERSITY OF KENT (United Kingdom)

Author keywords

B cklund transformations; Connection formulae; Exact solutions; Painlev equations

Indexed keywords

FIBER OPTICS; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR OPTICS; ORDINARY DIFFERENTIAL EQUATIONS; SOLITONS; STATISTICAL MECHANICS;

INVERSE SCATTERING;

NUMERICAL ANALYSIS;

MATHEMATICAL ANALYSIS;

EID: 0037380208 PISSN: 03770427 EISSN: None Source Type: Journal
DOI: 10.1016/S0377-0427(02)00589-7 Document Type: Article

Times cited : (102)

References (88)

1
- 0002004721
- Solitons, nonlinear evolution equations and inverse scattering
- Cambridge University Press, Cambridge
- M.J. Ablowitz, P.A. Clarkson, Solitons, nonlinear evolution equations and inverse scattering, in: L.M.S. Lecture Notes in Mathematics, Vol. 149, Cambridge University Press, Cambridge, 1991.
- (1991) L.M.S. Lecture Notes in Mathematics , vol.149
- Ablowitz, M.J.¹ Clarkson, P.A.²

2
- 36749113951
- M.J. Ablowitz, A. Ramani, H. Segur, J. Math. Phys. 21 (1980) 1006-1015.
- (1980) J. Math. Phys. , vol.21 , pp. 1006-1015
- Ablowitz, M.J.¹ Ramani, A.² Segur, H.³

3
- 0000732496
- M.J. Ablowitz, H. Segur, Phys. Rev. Lett. 38 (1977) 1103-1106.
- (1977) Phys. Rev. Lett. , vol.38 , pp. 1103-1106
- Ablowitz, M.J.¹ Segur, H.²

4
- 0003816609
- SIAM, Philadelphia, PA
- M.J. Ablowitz, H. Segur, Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, PA, 1981.
- (1981) Solitons and the Inverse Scattering Transform
- Ablowitz, M.J.¹ Segur, H.²

5
- 0018495943
- H. Airault, Stud. Appl. Math. 61 (1979) 31-53.
- (1979) Stud. Appl. Math. , vol.61 , pp. 31-53
- Airault, H.¹

6
- 0033443150
- J. Baik, P.A. Deift, K. Johansson, J. Amer. Math. Soc. 12 (1999) 1119-1178.
- (1999) J. Amer. Math. Soc. , vol.12 , pp. 1119-1178
- Baik, J.¹ Deift, P.A.² Johansson, K.³

7
- 84988672595
- A.P. Bassom, P.A. Clarkson, A.C. Hicks, Stud. Appl. Math. 95 (1995) 1-71.
- (1995) Stud. Appl. Math. , vol.95 , pp. 1-71
- Bassom, A.P.¹ Clarkson, P.A.² Hicks, A.C.³

8
- 0032333005
- A.P. Bassom, P.A. Clarkson, C.K. Law, J.B. McLeod, Arch. Rational Mech. Anal. 143 (1998) 241-271.
- (1998) Arch. Rational Mech. Anal. , vol.143 , pp. 241-271
- Bassom, A.P.¹ Clarkson, P.A.² Law, C.K.³ McLeod, J.B.⁴

9
- 0042173311
- J. Chazy, Acta Math. 34 (1911) 317-385.
- (1911) Acta Math. , vol.34 , pp. 317-385
- Chazy, J.¹

10
- 0039528278
- P.A. Clarkson, N. Joshi, A. Pickering, Inverse Problems 15 (1999) 175-187.
- (1999) Inverse Problems , vol.15 , pp. 175-187
- Clarkson, P.A.¹ Joshi, N.² Pickering, A.³

11
- 0006941734
- P.A. Clarkson, J.B. McLeod, Arch. Rational Mech. Anal. 103 (1998) 97-138.
- (1998) Arch. Rational Mech. Anal. , vol.103 , pp. 97-138
- Clarkson, P.A.¹ McLeod, J.B.²

12
- 0002865557
- C.M. Cosgrove, G. Scoufis, Stud. Appl. Math. 88 (1993) 25-87.
- (1993) Stud. Appl. Math. , vol.88 , pp. 25-87
- Cosgrove, C.M.¹ Scoufis, G.²

13
- 0000200448
- P. Deift, A.M.S. Notices 47 (2000) 631-640.
- (2000) A.M.S. Notices , vol.47 , pp. 631-640
- Deift, P.¹

14
- 0001525213
- P. Deift, X. Zhou, Ann. Math. 137 (1993) 295-368.
- (1993) Ann. Math. , vol.137 , pp. 295-368
- Deift, P.¹ Zhou, X.²

15
- 84990647031
- P. Deift, X. Zhou, Comm. Math. Phys. 48 (1995) 277-337.
- (1995) Comm. Math. Phys. , vol.48 , pp. 277-337
- Deift, P.¹ Zhou, X.²

16
- 0034349066
- B. Dubrovin, M. Mazzocco, Invent. Math. 141 (2000) 55-147.
- (2000) Invent. Math. , vol.141 , pp. 55-147
- Dubrovin, B.¹ Mazzocco, M.²

17
- 34250256469
- H. Flaschka, A.C. Newell, Comm. Math. Phys. 76 (1980) 65-116.
- (1980) Comm. Math. Phys. , vol.76 , pp. 65-116
- Flaschka, H.¹ Newell, A.C.²

18
- 36749114053
- A.S. Fokas, M.J. Ablowitz, J. Math. Phys. 23 (1982) 2033-2042.
- (1982) J. Math. Phys. , vol.23 , pp. 2033-2042
- Fokas, A.S.¹ Ablowitz, M.J.²

19
- 0001640543
- A.S. Fokas, M.J. Ablowitz, Comm. Math. Phys. 91 (1983) 381-403.
- (1983) Comm. Math. Phys. , vol.91 , pp. 381-403
- Fokas, A.S.¹ Ablowitz, M.J.²

20
- 0001524682
- A.S. Fokas, B. Grammaticos, A. Ramani, J. Math. Anal. Appl. 180 (1993) 342-360.
- (1993) J. Math. Anal. Appl. , vol.180 , pp. 342-360
- Fokas, A.S.¹ Grammaticos, B.² Ramani, A.³

21
- 0000533283
- A.S. Fokas, A.R. Its, A.V. Kitaev, Comm. Math. Phys. 142 (1991) 313-344.
- (1991) Comm. Math. Phys. , vol.142 , pp. 313-344
- Fokas, A.S.¹ Its, A.R.² Kitaev, A.V.³

22
- 0001283085
- A.S. Fokas, A.R. Its, A.V. Kitaev, Comm. Math. Phys. 147 (1992) 395-430.
- (1992) Comm. Math. Phys. , vol.147 , pp. 395-430
- Fokas, A.S.¹ Its, A.R.² Kitaev, A.V.³

23
- 51249182838
- A.S. Fokas, Y.C. Yortsos, Lett. Nuovo Cimente 30 (1981) 539-544.
- (1981) Lett. Nuovo Cimente , vol.30 , pp. 539-544
- Fokas, A.S.¹ Yortsos Y., C.²

24
- 0035534941
- P.J. Forrester, N.S. Witte, Comm. Math. Phys. 219 (2001) 357-398.
- (2001) Comm. Math. Phys. , vol.219 , pp. 357-398
- Forrester, P.J.¹ Witte, N.S.²

25
- 0012691296
- S. Fukutani, K. Okamoto, H. Umemura, Nagoya Math. J. 159 (2000) 179-200.
- (2000) Nagoya Math. J. , vol.159 , pp. 179-200
- Fukutani, S.¹ Okamoto, K.² Umemura, H.³

26
- 34250588266
- B. Gambier, Acta Math. 33 (1909) 1-55.
- (1909) Acta Math. , vol.33 , pp. 1-55
- Gambier, B.¹

27
- 0001234052
- J.A. Giannini, R.I. Joseph, Phys. Lett. A 141 (1989) 417-419.
- (1989) Phys. Lett. A , vol.141 , pp. 417-419
- Giannini, J.A.¹ Joseph, R.I.²

28
- 0000215470
- V.I. Gromak, Differential Equations 12 (1976) 519-521.
- (1976) Differential Equations , vol.12 , pp. 519-521
- Gromak, V.I.¹

29
- 0012688149
- V.I. Gromak, Differential Equations 18 (1982) 537-545.
- (1982) Differential Equations , vol.18 , pp. 537-545
- Gromak, V.I.¹

30
- 0001093688
- V.I. Gromak, Differential Equations 23 (1987) 506-513.
- (1987) Differential Equations , vol.23 , pp. 506-513
- Gromak, V.I.¹

31
- 0001913774
- R. Conte (Ed. ), Springer, Berlin
- V.I. Gromak, in: R. Conte (Ed. ), The Painlevé Property, One Century Later, CRM Series in Mathematical Physics, Springer, Berlin, 1999, pp. 687-734.
- (1999) The Painlevé Property, One Century Later, CRM Series in Mathematical Physics , pp. 687-734
- Gromak, V.I.¹

32
- 0000578219
- P. Hall, IMA J. Appl. Math. 29 (1982) 173-196.
- (1982) IMA J. Appl. Math. , vol.29 , pp. 173-196
- Hall, P.¹

33
- 0020208204
- P. Hall, J. Fluid Mech. 124 (1982) 475-494.
- (1982) J. Fluid Mech. , vol.124 , pp. 475-494
- Hall, P.¹

34
- 0019147547
- S.P. Hastings, J.B. McLeod, Arch. Rational Mech. Anal. 73 (1980) 31-51.
- (1980) Arch. Rational Mech. Anal. , vol.73 , pp. 31-51
- Hastings, S.P.¹ McLeod, J.B.²

35
- 0032387438
- B. Helffer, F.B. Weissler, European J. Appl. Math. 9 (1998) 223-243.
- (1998) European J. Appl. Math. , vol.9 , pp. 223-243
- Helffer, B.¹ Weissler F., B.²

36
- 0242285959
- R. Conte (Ed. ), Springer, Berlin
- J. Hietarinta, in: R. Conte (Ed. ), The Painlevé Property, One Century Later, CRM Series in Mathematical Physics, Springer, Berlin, 1999, pp. 661-686.
- (1999) The Painlevé Property, One Century Later, CRM Series in Mathematical Physics , pp. 661-686
- Hietarinta, J.¹

37
- 0004125699
- Dover, New York
- E.L. Ince, Ordinary Differential Equations, Dover, New York, 1956.
- (1956) Ordinary Differential Equations
- Ince, E.L.¹

38
- 0000515224
- A.R. Its, A.S. Fokas, A.A. Kapaev, Nonlinearity 7 (1994) 1291-1325.
- (1994) Nonlinearity , vol.7 , pp. 1291-1325
- Its, A.R.¹ Fokas, A.S.² Kapaev, A.A.³

39
- 84956262296
- A.R. Its, A.A. Kapaev, Math. USSR Izv. 31 (1988) 193-207.
- (1988) Math. USSR Izv. , vol.31 , pp. 193-207
- Its, A.R.¹ Kapaev, A.A.²

40
- 0003219756
- The isomonodromic deformation method in the theory of Painlevé equations
- Springer, Berlin
- A.R. Its, V.Yu. Novokshëenov, The isomonodromic deformation method in the theory of Painlevé equations, in: Lecture Notes in Mathematics, Vol. 1191, Springer, Berlin, 1986.
- (1986) Lecture Notes in Mathematics , vol.1191
- Its, A.R.¹ Novokshënov, V.Yu.²

41
- 0003571184
- rom Gauss to Painlevé: A modern theory of special functions
- Viewag, Braunschweig, Germany
- K. Iwasaki, H. Kimura, S. Shimomura, M. Yoshida, From Gauss to Painlevé: a modern theory of special functions, in: Aspects of Mathematics E, Vol. 16, Viewag, Braunschweig, Germany, 1991.
- (1991) Aspects of Mathematics E , vol.16
- Iwasaki, K.¹ Kimura, H.² Shimomura, S.³ Yoshida, M.⁴

42
- 49049148970
- M. Jimbo, T. Miwa, Physica D 2 (1981) 407-448.
- (1981) Physica D , vol.2 , pp. 407-448
- Jimbo, M.¹ Miwa, T.²

43
- 49049152822
- M. Jimbo, T. Miwa, K. Ueno, Physica D 2 (1981) 306-352.
- (1981) Physica D , vol.4 , pp. 26-46
- Jimbo, M.¹ Miwa, T.²

44
- 49149137872
- M. Jimbo, T. Miwa, K. Ueno, Physica D 2 (1981) 306-352.
- (1981) Physica D , vol.2 , pp. 306-352
- Jimbo, M.¹ Miwa, T.² Ueno, K.³

45
- 0035641726
- I.M. Johnstone, Ann. Statist. 29 (2001) 295-327.
- (2001) Ann. Statist. , vol.29 , pp. 295-327
- Johnstone, I.M.¹

46
- 0000955168
- M. Kac, P. van Moerbeke, Adv. Math. 16 (1975) 160-169.
- (1975) Adv. Math. , vol.16 , pp. 160-169
- Kac, M.¹ van Moerbeke, P.²

47
- 0030507182
- K. Kajiwara, Y. Ohta, J. Math. Phys. 37 (1996) 4393-4704.
- (1996) J. Math. Phys. , vol.37 , pp. 4393-4704
- Kajiwara, K.¹ Ohta, Y.²

48
- 84972507758
- A.V. Kitaev, C.K. Law, J.B. McLeod, Differential Integral Equations 7 (1994) 967-1000.
- (1994) Differential Integral Equations , vol.7 , pp. 967-1000
- Kitaev, A.V.¹ Law, C.K.² McLeod, J.B.³

49
- 0001023712
- N.A. Lukashevich, Differential Equations 3 (1967) 395-399.
- (1967) Differential Equations , vol.3 , pp. 395-399
- Lukashevich, N.A.¹

50
- 0001490968
- N.A. Lukashevich, Differential Equations 3 (1967) 994-999.
- (1967) Differential Equations , vol.3 , pp. 994-999
- Lukashevich, N.A.¹

51
- 0012720339
- N.A. Lukashevich, Differential Equations 4 (1968) 732-735.
- (1968) Differential Equations , vol.4 , pp. 732-735
- Lukashevich, N.A.¹

52
- 0000141589
- N.A. Lukashevich, Differential Equations 6 (1971) 853-854.
- (1971) Differential Equations , vol.6 , pp. 853-854
- Lukashevich, N.A.¹

53
- 0012731810
- N.A. Lukashevich, A.I. Yablonskii, Differential Equations 3 (1967) 264-266.
- (1967) Differential Equations , vol.3 , pp. 264-266
- Lukashevich, N.A.¹ Yablonskii, A.I.²

54
- 0000285511
- A.P. Magnus, J. Comput. Appl. Anal. 57 (1995) 215-237.
- (1995) J. Comput. Appl. Anal. , vol.57 , pp. 215-237
- Magnus, A.P.¹

55
- 0038932438
- E.L. Mansfield, H.N. Webster, Stud. Appl. Math. 101 (1998) 321-341.
- (1998) Stud. Appl. Math. , vol.101 , pp. 321-341
- Mansfield, E.L.¹ Webster, H.N.²

56
- 0035937663
- M. Mazzocco, J. Phys. A: Math. Gen. 34 (2001) 2281-2294.
- (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 2281-2294
- Mazzocco, M.¹

57
- 0035599194
- M. Mazzocco, Math. Ann. 321 (2001) 157-195.
- (2001) Math. Ann. , vol.321 , pp. 157-195
- Mazzocco, M.¹

58
- 0012731301
- J.W. Miles, Proc. Roy. Soc. London A 361 (1978) 277-291.
- (1978) Proc. Roy. Soc. London A , vol.361 , pp. 277-291
- Miles, J.W.¹

59
- 0012644505
- J.W. Miles, Mech. Today 5 (1980) 297-313.
- (1980) Mech. Today , vol.5 , pp. 297-313
- Miles, J.W.¹

60
- 0040250354
- A.E. Milne, P.A. Clarkson, A.P. Bassom, Stud. Appl. Math. 98 (1997) 139-194.
- (1997) Stud. Appl. Math. , vol.98 , pp. 139-194
- Milne, A.E.¹ Clarkson, P.A.² Bassom, A.P.³

61
- 0002101436
- Y. Murata, Funkcial. Ekvac. 28 (1985) 1-32.
- (1985) Funkcial. Ekvac. , vol.28 , pp. 1-32
- Murata, Y.¹

62
- 84972542074
- Y. Murata, Nagoya Math. J. 139 (1995) 37-65.
- (1995) Nagoya Math. J. , vol.139 , pp. 37-65
- Murata, Y.¹

63
- 0032476959
- M. Noumi, Y. Yamada, Comm. Math. Phys. 199 (1998) 281-295.
- (1998) Comm. Math. Phys. , vol.199 , pp. 281-295
- Noumi, M.¹ Yamada, Y.²

64
- 0002515824
- M. Noumi, Y. Yamada, Nagoya Math. J. 153 (1998) 53-86.
- (1998) Nagoya Math. J. , vol.153 , pp. 53-86
- Noumi, M.¹ Yamada, Y.²

65
- 0001081871
- Sect. IA Math
- K. Okamoto, J. Fac. Sci. Univ. Tokyo, Sect. IA Math. 33 (1986) 575-618.
- (1986) J. Fac. Sci. Univ. Tokyo , vol.33 , pp. 575-618
- Okamoto, K.¹

66
- 0007117198
- K. Okamoto, Math. Ann. 275 (1986) 221-255.
- (1986) Math. Ann. , vol.275 , pp. 221-255
- Okamoto, K.¹

67
- 34250120843
- K. Okamoto, Ann. Mat. Pura Appl. 146 (1987) 337-381.
- (1987) Ann. Mat. Pura Appl. , vol.146 , pp. 337-381
- Okamoto, K.¹

68
- 0002556311
- K. Okamoto, Japan J. Math. 13 (1987) 47-76.
- (1987) Japan J. Math. , vol.13 , pp. 47-76
- Okamoto, K.¹

69
- 0000234103
- K. Okamoto, Funkcial. Ekvac. 30 (1987) 305-332.
- (1987) Funkcial. Ekvac. , vol.30 , pp. 305-332
- Okamoto, K.¹

70
- 0000003196
- R. Conte (Ed. ), Physics Springer, Berlin
- K. Okamoto, in: R. Conte (Ed. ), The Painlevé Property, One Century Later, CRM Series in Mathematical Physics, Springer, Berlin, 1999, pp. 735-787.
- (1999) The Painlevé Property, One Century Later, CRM Series in Mathematical , pp. 735-787
- Okamoto, K.¹

71
- 0000126711
- E. Picard, J. Math. 5 (1889) 135-318.
- (1889) J. Math. , vol.5 , pp. 135-318
- Picard, E.¹

72
- 0343391145
- M. Prähofer, H. Spohn, Physica A 279 (2000) 342-352.
- (2000) Physica A , vol.279 , pp. 342-352
- Prähofer, M.¹ Spohn, H.²

73
- 0000439075
- M. Prähofer, H. Spohn, Phys. Rev. Lett. 84 (2000) 4882-4885.
- (2000) Phys. Rev. Lett. , vol.84 , pp. 4882-4885
- Prähofer, M.¹ Spohn, H.²

74
- 0017982747
- R.S. Rosales, Proc. Roy. Soc. London A 361 (1978) 265-275.
- (1978) Proc. Roy. Soc. London A , vol.361 , pp. 265-275
- Rosales, R.S.¹

75
- 49049152826
- H. Segur, M.J. Ablowitz, Physica D 3 (1981) 165-184.
- (1981) Physica D , vol.3 , pp. 165-184
- Segur, H.¹ Ablowitz, M.J.²

76
- 0033473406
- A. Soshnikov, Comm. Math. Phys. 207 (1999) 697-733.
- (1999) Comm. Math. Phys. , vol.207 , pp. 697-733
- Soshnikov, A.¹

77
- 0012644506
- B.I. Suleǐmanov, Differential Equations 23 (1987) 569-576.
- (1987) Differential Equations , vol.23 , pp. 569-576
- Suleǐmanov, B.I.¹

78
- 0012730922
- M. Taneda, Nagoya Math. J. 159 (2000) 87-111.
- (2000) Nagoya Math. J. , vol.159 , pp. 87-111
- Taneda, M.¹

79
- 27644532196
- C.A. Tracy, H. Widom, Comm. Math. Phys. 159 (1994) 151-174.
- (1994) Comm. Math. Phys. , vol.159 , pp. 151-174
- Tracy, C.A.¹ Widom, H.²

80
- 0033474974
- C.A. Tracy, H. Widom, Comm. Math. Phys. 207 (1999) 665-685.
- (1999) Comm. Math. Phys. , vol.207 , pp. 665-685
- Tracy, C.A.¹ Widom, H.²

81
- 0035842298
- J.A. Tuszyński, J. Middleton, P.L. Christiansen, J.M. Dixon, Phys. Lett. A 291 (2001) 220-225.
- (2001) Phys. Lett. A , vol.291 , pp. 220-225
- Tuszyński, J.A.¹ Middleton, J.² Christiansen, P.L.³ Dixon, J.M.⁴

82
- 0000479241
- H. Umemura, Nagoya Math. J. 117 (1990) 125-171.
- (1990) Nagoya Math. J. , vol.117 , pp. 125-171
- Umemura, H.¹

83
- 0012731811
- H. Umemura, Nagoya Math. J. 157 (2000) 15-46.
- (2000) Nagoya Math. J. , vol.157 , pp. 15-46
- Umemura, H.¹

84
- 0000547644
- H. Umemura, H. Watanabe, Nagoya Math. J. 148 (1997) 151-198.
- (1997) Nagoya Math. J. , vol.148 , pp. 151-198
- Umemura, H.¹ Watanabe, H.²

85
- 0002621441
- H. Umemura, H. Watanabe, Nagoya Math. J. 151 (1998) 1-24.
- (1998) Nagoya Math. J. , vol.151 , pp. 1-24
- Umemura, H.¹ Watanabe, H.²

86
- 0002541857
- A.P. Vorob'ev, Differential Equations 1 (1965) 58-59.
- (1965) Differential Equations , vol.1 , pp. 58-59
- Vorob'ev, A.P.¹

87
- 84972511852
- H. Watanabe, Hokkaido Math. J. 24 (1995) 231-267.
- (1995) Hokkaido Math. J. , vol.24 , pp. 231-267
- Watanabe, H.¹

88
- 0012645075
- A.I. Yablonskii, Vestnik Akad. Nauk. BSSR Ser. Fiz. Tkh. Nauk 3 (1959) 30-35 (in Russian).
- (1959) Vestnik Akad. Nauk. BSSR Ser. Fiz. Tkh. Nauk , vol.3 , pp. 30-35
- Yablonskii, A.I.¹

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