메뉴 건너뛰기




Volumn 62, Issue 3, 1997, Pages 368-376

3-Elliptic solutions of the sine-Gordon equation

Author keywords

Doubly periodic solutions; Elliptic finite gap solutions; Krichever curve; Lamb ansatz; Sine Gordon equation; Three sheeted covering; Two gap Lam potential

Indexed keywords


EID: 0002266871     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02360879     Document Type: Article
Times cited : (4)

References (20)
  • 1
    • 36749117423 scopus 로고
    • Exact solutions of the sine-Gordon equation describing oscillations in a long (but finite) Josephson junction
    • G. Costabile, R. D. Parmentier, B. Savo, D. W. McLaughlin, and A. C. Scott, "Exact solutions of the sine-Gordon equation describing oscillations in a long (but finite) Josephson junction," Appl. Phys. Lett., 32, 587-589 (1978).
    • (1978) Appl. Phys. Lett. , vol.32 , pp. 587-589
    • Costabile, G.1    Parmentier, R.D.2    Savo, B.3    McLaughlin, D.W.4    Scott, A.C.5
  • 2
    • 0024639799 scopus 로고
    • Phenomenological electrodynamics of the Josephson junction
    • J. Pełka and J. Zagrodziński, "Phenomenological electrodynamics of the Josephson junction," Phys. B, 154, 125-139 (1989).
    • (1989) Phys. B , vol.154 , pp. 125-139
    • Pełka, J.1    Zagrodziński, J.2
  • 3
    • 84956066062 scopus 로고
    • Constant mean curvature surfaces and integrable equations
    • A. I. Bobenko, "Constant mean curvature surfaces and integrable equations," Uspekhi Mat. Nauk [Russian Math. Surveys], 46, No. 4, 3-42 (1991).
    • (1991) Uspekhi Mat. Nauk [Russian Math. Surveys] , vol.46 , Issue.4 , pp. 3-42
    • Bobenko, A.I.1
  • 7
    • 0001900221 scopus 로고
    • Algebro-geometrical superposition principles for finite-gap solutions of integrable nonlinear equations
    • E. D. Belokolos, A. I. Bobenko, V. B. Matveev, and V. Z. Énol'skii, "Algebro-geometrical superposition principles for finite-gap solutions of integrable nonlinear equations," Uspekhi Mat. Nauk [Russian Math. Surveys], 41, No. 2, 3-42 (1986).
    • (1986) Uspekhi Mat. Nauk [Russian Math. Surveys] , vol.41 , Issue.2 , pp. 3-42
    • Belokolos, E.D.1    Bobenko, A.I.2    Matveev, V.B.3    Énol'skii, V.Z.4
  • 9
    • 0010921988 scopus 로고
    • Real elliptic solutions of the sine-Gordon equation
    • A. O. Smirnov, "Real elliptic solutions of the sine-Gordon equation," Mat. Sb. [Math. USSR-Sb.], 181, No. 6, 804-812 (1990).
    • (1990) Mat. Sb. [Math. USSR-Sb.] , vol.181 , Issue.6 , pp. 804-812
    • Smirnov, A.O.1
  • 11
    • 0002696785 scopus 로고
    • Elliptic solutions of the Korteweg-de Vries equation
    • A. O. Smirnov, "Elliptic solutions of the Korteweg-de Vries equation," Mat. Zametki [Math. Notes], 45, No. 6, 66-73 (1989).
    • (1989) Mat. Zametki [Math. Notes] , vol.45 , Issue.6 , pp. 66-73
    • Smirnov, A.O.1
  • 12
    • 0039563060 scopus 로고
    • The dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals to elliptic integrals
    • A. R. Its and V. Z. Énol'skii, "The dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals to elliptic integrals," Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.], 20, No. 1, 73-74 (1986).
    • (1986) Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.] , vol.20 , Issue.1 , pp. 73-74
    • Its, A.R.1    Énol'skii, V.Z.2
  • 14
    • 0141492768 scopus 로고
    • Two-gap elliptic solutions of integrable nonlinear equations
    • A. O. Smirnov, "Two-gap elliptic solutions of integrable nonlinear equations," Mat. Zametki [Math. Notes], 58, No. 1, 86-97 (1995).
    • (1995) Mat. Zametki [Math. Notes] , vol.58 , Issue.1 , pp. 86-97
    • Smirnov, A.O.1
  • 17
    • 0000679731 scopus 로고
    • Elliptic (in t) solutions of the KdV equation
    • A. O. Smirnov, "Elliptic (in t) solutions of the KdV equation," Teoret. Mat. Fiz. [Theoret. and Math. Phys.], 100, No. 2, 183-198 (1994).
    • (1994) Teoret. Mat. Fiz. [Theoret. and Math. Phys.] , vol.100 , Issue.2 , pp. 183-198
    • Smirnov, A.O.1
  • 18
    • 0003166013 scopus 로고
    • Finite-gap elliptic solutions of the KdV equation
    • A. O. Smirnov, "Finite-gap elliptic solutions of the KdV equation," Acta Appl. Math., 36, 125-166 (1994).
    • (1994) Acta Appl. Math. , vol.36 , pp. 125-166
    • Smirnov, A.O.1
  • 19
    • 0002420228 scopus 로고
    • On the geometry of elliptic solitons
    • V. Z. Énol'skii and N. A. Kostov, "On the geometry of elliptic solitons," Acta Appl. Math., 36, 57-86 (1994).
    • (1994) Acta Appl. Math. , vol.36 , pp. 57-86
    • Énol'skii, V.Z.1    Kostov, N.A.2
  • 20
    • 0009454247 scopus 로고
    • Reduction of the functions and elliptic finite-gap potentials
    • E. D. Belokolos and V. Z. Énol'skii, "Reduction of the functions and elliptic finite-gap potentials," Acta Appl. Math., 36, 87-117 (1994).
    • (1994) Acta Appl. Math. , vol.36 , pp. 87-117
    • Belokolos, E.D.1    Énol'skii, V.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.