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Volumn 137, Issue 3, 2003, Pages 1691-1702

Monodromy approach to the scaling limits in isomonodromy systems

Author keywords

Isomonodromic deformations; Modulation equations; Scaling limits; Spectral curve; WKB method

Indexed keywords


EID: 3943105450     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:TAMP.0000007917.73394.24     Document Type: Conference Paper
Times cited : (5)

References (24)
  • 2
    • 3943081642 scopus 로고    scopus 로고
    • nlin.SI/0105002
    • A. A. Kapaev, CRM Proc. Lect. Notes, 32, 157-179 (2002); nlin.SI/0105002 (2001).
    • (2001) CRM Proc. Lect. Notes , vol.32 , pp. 157-179
    • Kapaev, A.A.1
  • 9
    • 0000533283 scopus 로고
    • A. R. Its, A. V. Kitaev, and A. S. Fokas, Russ. Math. Surveys, 45, 155-157 (1990); Comm. Math. Phys., 142, 313-344 (1991); 147, 395-430 (1992).
    • (1991) Comm. Math. Phys. , vol.142 , pp. 313-344
  • 10
    • 0001283085 scopus 로고
    • A. R. Its, A. V. Kitaev, and A. S. Fokas, Russ. Math. Surveys, 45, 155-157 (1990); Comm. Math. Phys., 142, 313-344 (1991); 147, 395-430 (1992).
    • (1992) Comm. Math. Phys. , vol.147 , pp. 395-430
  • 13
    • 0037099798 scopus 로고    scopus 로고
    • math-ph/0202045 (2002)
    • P. Zinn-Justin, Nucl. Phys. B, 634, 417-432 (2002); math-ph/0202045 (2002).
    • (2002) Nucl. Phys. B , vol.634 , pp. 417-432
    • Zinn-Justin, P.1
  • 17
    • 49049148970 scopus 로고
    • M. Jimbo and T. Miwa, Phys. D, 2, 407-448 (1981); 4, 26-46 (1981).
    • (1981) Phys. D , vol.2 , pp. 407-448
    • Jimbo, M.1    Miwa, T.2
  • 18
    • 49049152822 scopus 로고
    • M. Jimbo and T. Miwa, Phys. D, 2, 407-448 (1981); 4, 26-46 (1981).
    • (1981) Phys. D , vol.4 , pp. 26-46
  • 19
  • 20
    • 48249137086 scopus 로고
    • R. Garnier, Ann. Sci. Ecole Norm. Super., 34, 239-253 (1917); H. Flaschka and A. C. Newell, Phys. D, 3, 203-221 (1981).
    • (1981) Phys. D , vol.3 , pp. 203-221
    • Flaschka, H.1    Newell, A.C.2
  • 21
    • 84860468124 scopus 로고    scopus 로고
    • A. A. Kapaev, J. Math. Sci., New York, 83, No. 1, 38-61 (1997); "Scaling limits in the fourth Painlevé transcendent," PDMI Preprint 15/1996, PDMI, St. Petersburg (1996); "Discriminant set for the scaling limits in the third Painlevé transcendent," PDMI Preprint 21/1997, PDMI, St. Petersburg (1997).
    • (1997) J. Math. Sci., New York , vol.83 , Issue.1 , pp. 38-61
    • Kapaev, A.A.1
  • 22
    • 3943089408 scopus 로고    scopus 로고
    • PDMI Preprint 15/1996, PDMI, St. Petersburg
    • A. A. Kapaev, J. Math. Sci., New York, 83, No. 1, 38-61 (1997); "Scaling limits in the fourth Painlevé transcendent," PDMI Preprint 15/1996, PDMI, St. Petersburg (1996); "Discriminant set for the scaling limits in the third Painlevé transcendent," PDMI Preprint 21/1997, PDMI, St. Petersburg (1997).
    • (1996) Scaling Limits in the Fourth Painlevé Transcendent
  • 23
    • 3943060479 scopus 로고    scopus 로고
    • PDMI Preprint 21/1997, PDMI, St. Petersburg
    • A. A. Kapaev, J. Math. Sci., New York, 83, No. 1, 38-61 (1997); "Scaling limits in the fourth Painlevé transcendent," PDMI Preprint 15/1996, PDMI, St. Petersburg (1996); "Discriminant set for the scaling limits in the third Painlevé transcendent," PDMI Preprint 21/1997, PDMI, St. Petersburg (1997).
    • (1997) Discriminant Set for the Scaling Limits in the Third Painlevé Transcendent
  • 24
    • 0038407689 scopus 로고    scopus 로고
    • nlin.SI/0207036
    • A. A. Kapaev, J. Phys. A, 36, 4629-4640 (2003); nlin.SI/0207036 (2002).
    • (2002) J. Phys. A , vol.36 , pp. 4629-4640
    • Kapaev, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.