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Volumn 41, Issue 7, 2008, Pages

Relations in a quantized elastica

(1)  Matsutani, Shigeki a  

a NONE   (Japan)

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EID: 38949162166     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/7/075201     Document Type: Article
Times cited : (8)

References (40)
  • 2
    • 0001124224 scopus 로고
    • On the hyperelliptic sigma functions
    • Baker H F 1898 On the hyperelliptic sigma functions Am. J. Math. 20 301-84
    • (1898) Am. J. Math. , vol.20 , Issue.4 , pp. 301-384
    • Baker, H.F.1
  • 3
    • 0000252859 scopus 로고
    • 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. 27 135-56
    • (1903) Acta Math. , vol.27 , Issue.1 , pp. 135-156
    • Baker, H.F.1
  • 7
    • 22044456885 scopus 로고    scopus 로고
    • A recursive family of differential polynomials generated by the Sylvester identity and addition theorems for hyperelliptic Kleinian functions
    • Buchstaber V M, Enolskii V Z and Leykin D V 1997 A recursive family of differential polynomials generated by the Sylvester identity and addition theorems for hyperelliptic Kleinian functions Funct. Anal. Appl. 31 240-51
    • (1997) Funct. Anal. Appl. , vol.31 , Issue.4 , pp. 240-251
    • Buchstaber, V.M.1    Enolskii, V.Z.2    Leykin, D.V.3
  • 8
    • 0001056693 scopus 로고
    • Vertex algebras, Kac-Moody algebras, and the Monster
    • Borcherds R E 1986 Vertex algebras, Kac-Moody algebras, and the Monster Proc. Natl Acad. Sci. USA 83 3068-71
    • (1986) Proc. Natl Acad. Sci. USA , vol.83 , Issue.10 , pp. 3068-3071
    • Borcherds, R.E.1
  • 15
    • 0001678450 scopus 로고
    • The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane
    • Goldstein R E and Petrich D M 1991 The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane Phys. Rev. Lett. 67 3203-6
    • (1991) Phys. Rev. Lett. , vol.67 , Issue.23 , pp. 3203-3206
    • Goldstein, R.E.1    Petrich, D.M.2
  • 17
    • 0001323002 scopus 로고
    • On the modified Korteweg-de Vries soliton and the loop soliton
    • Ishimori Y 1981 On the modified Korteweg-de Vries soliton and the loop soliton J. Phys. Soc. Japan 50 2741-2
    • (1981) J. Phys. Soc. Japan , vol.50 , Issue.8 , pp. 2471-2742
    • Ishimori, Y.1
  • 18
    • 0009886010 scopus 로고
    • Ueber hyperelliptische Sigmafunctionen
    • Klein F 1886 Ueber hyperelliptische Sigmafunctionen Math. Ann. 27 431-64
    • (1886) Math. Ann. , vol.27 , Issue.3 , pp. 431-464
    • Klein, F.1
  • 19
    • 0000547647 scopus 로고
    • A loop soliton propagating along a stretched rope
    • Konno K, Ichikawa Y and Wadati M 1981 A loop soliton propagating along a stretched rope J. Phys. Soc. Japan 50 1025-6
    • (1981) J. Phys. Soc. Japan , vol.50 , Issue.3 , pp. 1025-1026
    • Konno, K.1    Ichikawa, Y.2    Wadati, M.3
  • 20
    • 0032549423 scopus 로고    scopus 로고
    • Statistical mechanics of elastica on plane: Origin of MKdV hierarchy
    • Matsutani S 1998 Statistical mechanics of elastica on plane: origin of MKdV hierarchy J. Phys. A: Math. Gen. 31 2705-25
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.11 , pp. 2705-2725
    • Matsutani, S.1
  • 21
    • 0033074827 scopus 로고    scopus 로고
    • Statistical mechanics of non-stretching elastica in three dimensional space
    • Matsutani S 1999 Statistical mechanics of non-stretching elastica in three dimensional space J. Geom. Phys. 29 243-59
    • (1999) J. Geom. Phys. , vol.29 , Issue.3 , pp. 243-259
    • Matsutani, S.1
  • 22
    • 0009888442 scopus 로고    scopus 로고
    • Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two
    • Matsutani S 2001 Closed loop solitons and sigma functions: classical and quantized elasticas with genera one and two J. Geom. Phys. 39 50-61
    • (2001) J. Geom. Phys. , vol.39 , Issue.1 , pp. 51-61
    • Matsutani, S.1
  • 23
    • 0036331647 scopus 로고    scopus 로고
    • Hyperelliptic loop solitons with genus g: Investigations of a quantized elastica
    • Matsutani S 2002 Hyperelliptic loop solitons with genus g: investigations of a quantized elastica J. Geom. Phys. 43 146-62
    • (2002) J. Geom. Phys. , vol.43 , Issue.2-3 , pp. 146-162
    • Matsutani, S.1
  • 24
    • 0037123905 scopus 로고    scopus 로고
    • Explicit hyperelliptic solutions of modified Korteweg-de Vries equation: Essentials of Miura transformation
    • Matsutani S 2002 Explicit hyperelliptic solutions of modified Korteweg-de Vries equation: essentials of Miura transformation J. Phys. A: Math. Gen. 35 4321-33
    • (2002) J. Phys. A: Math. Gen. , vol.35 , Issue.19 , pp. 4321-4333
    • Matsutani, S.1
  • 25
    • 38949095554 scopus 로고    scopus 로고
    • On relations of hyperelliptic Weierstrass al-functions
    • Matsutani S 2002 On relations of hyperelliptic Weierstrass al-functions Int. J. Appl. Math. 11 295-307
    • (2002) Int. J. Appl. Math. , vol.11 , pp. 295-307
    • Matsutani, S.1
  • 26
    • 0141705194 scopus 로고    scopus 로고
    • On the moduli of a quantized elastica in and KdV flows: Study of hyperelliptic curves as an extension of Euler's perspective of elastica: I
    • Matsutani S 2003 On the moduli of a quantized elastica in and KdV flows: study of hyperelliptic curves as an extension of Euler's perspective of elastica: I Rev. Math. Phys. 15 559-628
    • (2003) Rev. Math. Phys. , vol.15 , Issue.6 , pp. 559-628
    • Matsutani, S.1
  • 27
    • 34250686230 scopus 로고    scopus 로고
    • Reality conditions of loop solitons genus g: Hyperelliptic am functions
    • Matsutani S 2007 Reality conditions of loop solitons genus g: hyperelliptic am functions Electron. J. Differ. Equ. 2007 1-12
    • (2007) Electron. J. Differ. Equ. , vol.2007 , pp. 1-12
    • Matsutani, S.1
  • 28
    • 31744442567 scopus 로고    scopus 로고
    • Essentials of monstrous moonshine
    • McKay J 2001 Essentials of monstrous moonshine Adv. Std. Pure Math. 32 347-53
    • (2001) Adv. Std. Pure Math. , vol.32 , pp. 347-353
    • McKay, J.1
  • 29
    • 0034360997 scopus 로고    scopus 로고
    • Fuchsian groups, automorphic functions and Schwarzians
    • McKay J and Sebbar A 2000 Fuchsian groups, automorphic functions and Schwarzians Math. Ann. 318 255-75
    • (2000) Math. Ann. , vol.318 , Issue.2 , pp. 255-275
    • McKay, J.1    Sebbar, A.2
  • 30
    • 84972510505 scopus 로고
    • Cohomological structure in soliton equations and Jacobian variety
    • Mulase M 1984 Cohomological structure in soliton equations and Jacobian variety J. Differ. Geom. 19 403-30
    • (1984) J. Differ. Geom. , vol.19 , pp. 403-430
    • Mulase, M.1
  • 33
    • 0001341733 scopus 로고    scopus 로고
    • Complex multiplication formulae of curves of genus three
    • Onishi Y 1998 Complex multiplication formulae of curves of genus three Tokyo J. Math. 21 381-431
    • (1998) Tokyo J. Math. , vol.21 , pp. 381-431
    • Onishi, Y.1
  • 35
    • 33645387024 scopus 로고    scopus 로고
    • Jacobi varieties with several polarizations and PDE's
    • Previato E 2000 Jacobi varieties with several polarizations and PDE's Regular Chaotic Dyn. 10 531-43
    • (2000) Regular Chaotic Dyn. , vol.10 , Issue.4 , pp. 531-543
    • Previato, E.1
  • 38
    • 84968511025 scopus 로고
    • The influence of elasticity on analysis: The classic heritage
    • Truesdell C 1983 The influence of elasticity on analysis: the classic heritage Bull. Am. Math. Soc. 9 293-310
    • (1983) Bull. Am. Math. Soc. , vol.9 , pp. 293-310
    • Truesdell, C.1
  • 40
    • 0010990808 scopus 로고
    • Painlevé III and 2D polymers
    • Zamolodchikov C 1994 Painlevé III and 2D polymers Nucl. Phys. B 432[FS] 427-56
    • (1994) Nucl. Phys. , vol.432 , Issue.3 , pp. 427-456
    • Zamolodchikov, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.