메뉴 건너뛰기




Volumn 24, Issue 1-4, 2010, Pages 383-387

A locally induced homoclinic motion of a vortex filament

Author keywords

Homoclinic motion; Localized induction approximation; Vortex filament

Indexed keywords

BILINEAR EQUATIONS; HOMOCLINIC MOTION; HOMOCLINIC SOLUTIONS; INDUCTION APPROXIMATION; UNSTEADY MOTION; VORTEX FILAMENT;

EID: 77949425112     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-009-0160-3     Document Type: Conference Paper
Times cited : (24)

References (12)
  • 1
    • 0002869267 scopus 로고
    • Generation of periodic trains of picosecond pulses in an optical fiber: Exact results
    • N.N. Akhmedieva V.M. Eleonskii N.E. Kulagin 1985 Generation of periodic trains of picosecond pulses in an optical fiber: exact results Sov. Phys. JETP 62 894 899
    • (1985) Sov. Phys. JETP , vol.62 , pp. 894-899
    • Akhmedieva, N.N.1    Eleonskii, V.M.2    Kulagin, N.E.3
  • 2
    • 0025413862 scopus 로고
    • On homoclinic structure and numerically induced chaos for the nonlinear Schrödinger equation
    • M.J. Ablowitz B.M. Herbst 1990 On homoclinic structure and numerically induced chaos for the nonlinear Schrödinger equation SIAM J. Appl. Math. 50 339 351
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 339-351
    • Ablowitz, M.J.1    Herbst, B.M.2
  • 3
    • 0030268006 scopus 로고    scopus 로고
    • The contributioons of da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
    • R.L. Ricca 1996 The contributioons of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics Fluid Dyn. Res 18 245 268
    • (1996) Fluid Dyn. Res , vol.18 , pp. 245-268
    • Ricca, R.L.1
  • 4
    • 84974277983 scopus 로고
    • A soliton on a vortex filament
    • H. Hasimoto 1972 A soliton on a vortex filament J. Fluid Mech. 51 477 485
    • (1972) J. Fluid Mech. , vol.51 , pp. 477-485
    • Hasimoto, H.1
  • 5
    • 0001279476 scopus 로고
    • Bilinearlization of soliton equations
    • R. Hirota 1982 Bilinearlization of soliton equations J. Phys Soc. Jpn. 51 323 331
    • (1982) J. Phys Soc. Jpn. , vol.51 , pp. 323-331
    • Hirota, R.1
  • 6
    • 0000018441 scopus 로고
    • N-solitons on a curved vortex filament
    • Y. Fukumoto T. Miyazaki 1986 N-solitons on a curved vortex filament J. Phys. Soc. Jpn. 55 4152 4155
    • (1986) J. Phys. Soc. Jpn. , vol.55 , pp. 4152-4155
    • Fukumoto, Y.1    Miyazaki, T.2
  • 7
    • 0043142733 scopus 로고    scopus 로고
    • Complexification of wave numbers in solitons
    • M. Umeki 1997 Complexification of wave numbers in solitons Phys. Lett. A 236 69 72
    • (1997) Phys. Lett. A , vol.236 , pp. 69-72
    • Umeki, M.1
  • 8
    • 0042281024 scopus 로고    scopus 로고
    • Comment on complexification of wave numbers in solitons by M. Umeki
    • A.A. Stahlhofen H. Druxes 1999 Comment on Complexification of wave numbers in solitons by M. Umeki Phys. Lett. A 253 247 248
    • (1999) Phys. Lett. A , vol.253 , pp. 247-248
    • Stahlhofen, A.A.1    Druxes, H.2
  • 9
    • 0019633372 scopus 로고
    • A vortex filament moving without change of form
    • S. Kida 1981 A vortex filament moving without change of form J. Fluid Mech. 112 397 409
    • (1981) J. Fluid Mech. , vol.112 , pp. 397-409
    • Kida, S.1
  • 10
    • 0002621117 scopus 로고
    • Torus knots and polynomial invariants for a class of soliton equations
    • R.L. Ricca 1993 Torus knots and polynomial invariants for a class of soliton equations Chaos 3 83 91
    • (1993) Chaos , vol.3 , pp. 83-91
    • Ricca, R.L.1
  • 11
    • 0002621117 scopus 로고
    • Erratum: Torus knots and polynomial invariants for a class of soliton equations
    • R.L. Ricca 1993 Erratum: Torus knots and polynomial invariants for a class of soliton equations Chaos 3 83 91
    • (1993) Chaos , vol.3 , pp. 83-91
    • Ricca, R.L.1
  • 12
    • 6044277740 scopus 로고
    • Erratum: Torus knots and polynomial invariants for a class of soliton equations
    • R.L. Ricca 1995 Erratum: Torus knots and polynomial invariants for a class of soliton equations Chaos 5 346
    • (1995) Chaos , vol.5 , pp. 346
    • Ricca, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.