메뉴 건너뛰기




Volumn 21, Issue 2, 1997, Pages 101-114

Solitons in (2 + 0) dimensions and their applications in vortex dynamics

Author keywords

Nonlinear waves; Vortex dynamics

Indexed keywords

FLOW PATTERNS; FUNCTIONS; SHEAR FLOW; SOLITONS;

EID: 0031215055     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-5983(96)00061-5     Document Type: Article
Times cited : (8)

References (27)
  • 4
    • 0001029443 scopus 로고
    • Complex bi-orthogonal decomposition of a chain of coupled wakes
    • Chauve, M.P. and P. Le Gal (1992) Complex bi-orthogonal decomposition of a chain of coupled wakes, Physica D 58, 407-413.
    • (1992) Physica D , vol.58 , pp. 407-413
    • Chauve, M.P.1    Le Gal, P.2
  • 5
    • 36449005107 scopus 로고
    • A class of exact, periodic solutions of nonlinear envelope equations
    • Chow, K.W. (1995) A class of exact, periodic solutions of nonlinear envelope equations, J. Math. Phys. 36, 4125-4137.
    • (1995) J. Math. Phys. , vol.36 , pp. 4125-4137
    • Chow, K.W.1
  • 6
    • 0029656393 scopus 로고    scopus 로고
    • Stability of periodic arrays of vortices
    • Dauxois, T., S. Fauve and L. Tuckerman (1996) Stability of periodic arrays of vortices, Phys. Fluids A 8, 487-495.
    • (1996) Phys. Fluids A , vol.8 , pp. 487-495
    • Dauxois, T.1    Fauve, S.2    Tuckerman, L.3
  • 7
    • 36749107839 scopus 로고
    • Spectral theory of the periodic sine-Gordon equation: A concrete viewpoint
    • Forrest, G. and D.W. McLaughlin (1982) Spectral theory of the periodic sine-Gordon equation: a concrete viewpoint, J. Math. Phys. 23, 1248-1277.
    • (1982) J. Math. Phys. , vol.23 , pp. 1248-1277
    • Forrest, G.1    McLaughlin, D.W.2
  • 8
    • 56149120397 scopus 로고
    • Exact 3-soliton solution of the two-dimensional sine-Gordon equation
    • Hirota, R. (1973) Exact 3-soliton solution of the two-dimensional sine-Gordon equation, J. Phys. Soc. Japan 35, 1566.
    • (1973) J. Phys. Soc. Japan , vol.35 , pp. 1566
    • Hirota, R.1
  • 9
    • 0019284827 scopus 로고
    • Vortex pairing in a circular jet under controlled excitation, Part 2, Coherent structure dynamics
    • Hussain, A.K.M.F. and K.M.Q.B. Zaman (1980) Vortex pairing in a circular jet under controlled excitation, Part 2, Coherent structure dynamics, J. Fluid Mech. 101, 493-544.
    • (1980) J. Fluid Mech. , vol.101 , pp. 493-544
    • Hussain, A.K.M.F.1    Zaman, K.M.Q.B.2
  • 10
    • 0022767146 scopus 로고
    • A class of exact solutions of the Navier-Stokes equation
    • Kambe, T. (1986) A class of exact solutions of the Navier-Stokes equation, Fluid Dyn. Res. 1, 21-31.
    • (1986) Fluid Dyn. Res. , vol.1 , pp. 21-31
    • Kambe, T.1
  • 12
    • 0012610208 scopus 로고
    • Exact solutions of the elliptic sine equation in two space dimensions with applications to the Josephson effect
    • Leibbrant, G. (1978) Exact solutions of the elliptic sine equation in two space dimensions with applications to the Josephson effect, Phys. Rev. B 15, 3353-3361.
    • (1978) Phys. Rev. B , vol.15 , pp. 3353-3361
    • Leibbrant, G.1
  • 13
    • 36449005712 scopus 로고
    • A row of counter rotating vortices
    • Mallier, R. and S.A. Maslowe (1993) A row of counter rotating vortices, Phys. Fluids A 5, 1074-1075.
    • (1993) Phys. Fluids A , vol.5 , pp. 1074-1075
    • Mallier, R.1    Maslowe, S.A.2
  • 14
    • 0000677396 scopus 로고
    • Equilibrium states of two-dimensional turbulence: An experimental study
    • Marteau, D., O. Cardoso and P. Tabeling (1995) Equilibrium states of two-dimensional turbulence: an experimental study, Phys. Rev. E 51, 5124-5127.
    • (1995) Phys. Rev. E , vol.51 , pp. 5124-5127
    • Marteau, D.1    Cardoso, O.2    Tabeling, P.3
  • 15
    • 4244217361 scopus 로고
    • Periodic solution of the two-dimensional sine-Gordon equation
    • Martinov, N. and N. Vitanov (1992) Periodic solution of the two-dimensional sine-Gordon equation, J. Phys. A 25, L419-L426.
    • (1992) J. Phys. A , vol.25
    • Martinov, N.1    Vitanov, N.2
  • 16
    • 22244477567 scopus 로고
    • New class of running wave solutions of the (2+1)-dimensional sine-Gordon equation
    • Martinov, N. and N. Vitanov (1994) New class of running wave solutions of the (2+1)-dimensional sine-Gordon equation, J. Phys. A 27, 4611-4618.
    • (1994) J. Phys. A , vol.27 , pp. 4611-4618
    • Martinov, N.1    Vitanov, N.2
  • 17
    • 0004225586 scopus 로고
    • Bilinear Transformation Methods
    • Academic Press, New York
    • Matsuno, Y. (1984) Bilinear Transformation Methods, Mathematics in Science and Engineering, Vol. 174 (Academic Press, New York).
    • (1984) Mathematics in Science and Engineering , vol.174
    • Matsuno, Y.1
  • 18
    • 84958429452 scopus 로고
    • On the inviscid instability of the hyperbolic tangent velocity profile
    • Michalke, A. (1964) On the inviscid instability of the hyperbolic tangent velocity profile, J. Fluid Mech. 19, 543-556.
    • (1964) J. Fluid Mech. , vol.19 , pp. 543-556
    • Michalke, A.1
  • 20
    • 0028174759 scopus 로고
    • On long lived vortices in 2-D viscous flows, most probable states of inviscid 2-D flows and a soliton equation
    • Pasmanter, R.A. (1994) On long lived vortices in 2-D viscous flows, most probable states of inviscid 2-D flows and a soliton equation, Phys. Fluids A 6, 1236-1241.
    • (1994) Phys. Fluids A , vol.6 , pp. 1236-1241
    • Pasmanter, R.A.1
  • 21
    • 85040958017 scopus 로고
    • Cambridge University Press, Cambridge
    • Saffman, P.G. (1992) Vortex Dynamics (Cambridge University Press, Cambridge).
    • (1992) Vortex Dynamics
    • Saffman, P.G.1
  • 22
    • 84953609574 scopus 로고
    • On finite amplitude oscillations in laminar mixing layer
    • Stuart, J.T. (1967) On finite amplitude oscillations in laminar mixing layer, J. Fluid Mech. 29, 417-440.
    • (1967) J. Fluid Mech. , vol.29 , pp. 417-440
    • Stuart, J.T.1
  • 23
    • 33845683273 scopus 로고
    • Resonant interaction between line soliton and y-periodic soliton: Solutions of the Kadomtsev-Petviashvili equation with positive dispersion
    • Tajiri, M. and Y. Murakami (1992) Resonant interaction between line soliton and y-periodic soliton: solutions of the Kadomtsev-Petviashvili equation with positive dispersion, J. Phys. Soc. Japan 61, 791-805.
    • (1992) J. Phys. Soc. Japan , vol.61 , pp. 791-805
    • Tajiri, M.1    Murakami, Y.2
  • 24
    • 0027392616 scopus 로고
    • A study on the noise generation mechanisms in a circular air jet
    • Tang, S.K. and N.W.M. Ko (1993) A study on the noise generation mechanisms in a circular air jet, Trans. Amer. Soc. Mech. Eng. J. Fluids Eng. 115, 425-435.
    • (1993) Trans. Amer. Soc. Mech. Eng. J. Fluids Eng. , vol.115 , pp. 425-435
    • Tang, S.K.1    Ko, N.W.M.2
  • 25
    • 0028410834 scopus 로고
    • Experimental investigation of the structure interaction in an excited coaxial jet
    • Tang, S.K. and N.W.M. Ko (1994) Experimental investigation of the structure interaction in an excited coaxial jet, Exp. Thermal Fluid Sci. 8, 214-219.
    • (1994) Exp. Thermal Fluid Sci. , vol.8 , pp. 214-219
    • Tang, S.K.1    Ko, N.W.M.2
  • 26
    • 0023346864 scopus 로고
    • Exact solutions of a nonlinear boundary value problem: The vortices of the two dimensional sinh-Poisson equation
    • Ting, A.C., H.H. Chen and Y.C. Lee (1987) Exact solutions of a nonlinear boundary value problem: the vortices of the two dimensional sinh-Poisson equation, Physica D 26, 36-66.
    • (1987) Physica D , vol.26 , pp. 36-66
    • Ting, A.C.1    Chen, H.H.2    Lee, Y.C.3
  • 27
    • 0022145932 scopus 로고
    • Evolution of a single wake behind a pair of bluff bodies
    • Williamson, C.H.K. (1985) Evolution of a single wake behind a pair of bluff bodies, J. Fluid Mech. 159, 1-18.
    • (1985) J. Fluid Mech. , vol.159 , pp. 1-18
    • Williamson, C.H.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.