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Volumn 36, Issue 1-2, 1999, Pages 11-24

Singularity analysis, balance equations and soliton solution of the nonlocal complex Ginzburg-Landau equation

Author keywords

Complex ginzburg landau equation; Integrability; Singularity analysis; Solitons

Indexed keywords

INTEGRAL EQUATIONS; NONLINEAR EQUATIONS; OPTICAL FIBERS; PROBLEM SOLVING;

EID: 0033390927     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004533704679     Document Type: Article
Times cited : (7)

References (20)
  • 2
    • 36749112076 scopus 로고
    • The Painlevé property for partial differential equations
    • J. Weiss, M. Tabor and G. Carnevale, The Painlevé property for partial differential equations. J. Math. Phys. 24(1983)522-526.
    • (1983) J. Math. Phys. , vol.24 , pp. 522-526
    • Weiss, J.1    Tabor, M.2    Carnevale, G.3
  • 3
    • 0009657774 scopus 로고
    • Nonlinear Schrödingcr equation, Painlevé test, Bäcklund transformation and solitons
    • W. H. Steeb, M. Kloke and B. M. Spieker, Nonlinear Schrödingcr equation, Painlevé test, Bäcklund transformation and solitons. J. Phys. A. 17 (1984) L825-829.
    • (1984) J. Phys. A. , vol.17
    • Steeb, W.H.1    Kloke, M.2    Spieker, B.M.3
  • 4
    • 36149031438 scopus 로고
    • Painlevé analysis and integrability of coupled nonlinear Schrödinger equations
    • R. Sahadevan, K. M. Tamizhniani and M. Lakshmanan, Painlevé analysis and integrability of coupled nonlinear Schrödinger equations. J. Phys. A. 19 (1986) 1783-1791.
    • (1986) J. Phys. A. , vol.19 , pp. 1783-1791
    • Sahadevan, R.1    Tamizhniani, K.M.2    Lakshmanan, M.3
  • 5
    • 36449004816 scopus 로고
    • On the dynamics of the radially symmetric heisenberg ferromagnetic spin system
    • K. Porsezian and M. Lakshmanan, On the dynamics of the radially symmetric heisenberg ferromagnetic spin system. J. Math. Phys. 32 (1991) 2923-2928.
    • (1991) J. Math. Phys. , vol.32 , pp. 2923-2928
    • Porsezian, K.1    Lakshmanan, M.2
  • 6
    • 31044450316 scopus 로고
    • Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation
    • R. Conte and M. Musette, Linearity inside nonlinearity: exact solutions to the complex Ginzburg-Landau equation. Physica D 69 (1993) 1-17.
    • (1993) Physica D , vol.69 , pp. 1-17
    • Conte, R.1    Musette, M.2
  • 7
    • 0001551732 scopus 로고
    • Exact solutions of the one-dimensional quintic complex Ginzburg-Landau equation
    • P. Marcq, H. Chaté and R. Conte, Exact solutions of the one-dimensional quintic complex Ginzburg-Landau equation. Physica D 73 ( 1994) 305-317.
    • (1994) Physica D , vol.73 , pp. 305-317
    • Marcq, P.1    Chaté, H.2    Conte, R.3
  • 8
    • 0001223067 scopus 로고    scopus 로고
    • Optical Solitary Waves in the Higher order Nonlinear Schrödinger Equation
    • M. Gedalin, T. C. Scott and Y. B. Band, Optical Solitary Waves in the Higher Order Nonlinear Schrödinger Equation. Phys. Rev. Lett. 78 (1997) 448-451.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 448-451
    • Gedalin, M.1    Scott, T.C.2    Band, Y.B.3
  • 9
    • 0001424851 scopus 로고
    • Geometry of generalized nonlinear Schrödinger and Heisenberg ferromagnetic spin equations with linearly .v-dependent coefficients
    • M. Lakshmanan and R. K. Bullough, Geometry of generalized nonlinear Schrödinger and Heisenberg ferromagnetic spin equations with linearly .v-dependent coefficients. Phys. Lett. A 80 (1980) 287-292.
    • (1980) Phys. Lett. a , vol.80 , pp. 287-292
    • Lakshmanan, M.1    Bullough, R.K.2
  • 10
    • 0029222280 scopus 로고
    • Stabilization of solitonlike pulses with a slow saturable absorber
    • F. X. Kärtner and U. Keller, Stabilization of solitonlike pulses with a slow saturable absorber. Opt. Lett. 20 (1995) 16-18.
    • (1995) Opt. Lett. , vol.20 , pp. 16-18
    • Kärtner, F.X.1    Keller, U.2
  • 11
    • 84975625023 scopus 로고
    • Evolution of light pulses into autosolitons in nonlinear amplifying media
    • V. S. Grigoryan and T. C. Muradyan, Evolution of light pulses into autosolitons in nonlinear amplifying media. JOSA B 8 (1991) 1757-1765.
    • (1991) JOSA B , vol.8 , pp. 1757-1765
    • Grigoryan, V.S.1    Muradyan, T.C.2
  • 13
    • 0001690972 scopus 로고    scopus 로고
    • Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation
    • N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation. Phys. Rev. E 53 (1996) 1190-1201.
    • (1996) Phys. Rev. E , vol.53 , pp. 1190-1201
    • Akhmediev, N.N.1    Afanasjev, V.V.2    Soto-Crespo, J.M.3
  • 15
    • 0038618470 scopus 로고
    • Nonlinear Schrödinger equation including growth and damping
    • N. R. Pereira and L. Stenflo, Nonlinear Schrödinger equation including growth and damping, Phys. Fluids 20(1977) 1733-1734. ,
    • (1977) Phys. Fluids , vol.20 , pp. 1733-1734
    • Pereira, N.R.1    Stenflo, L.2
  • 16
    • 0001625265 scopus 로고    scopus 로고
    • Evolution of light pulses in a nonlinear dispersive medium. Sou
    • 19SS
    • V. S. Grigoryan, A. I. Maimistov and Yu. M. Sklyarov, Evolution of light pulses in a nonlinear dispersive medium. Sou Phys. JETP67(19SS) 530-534.
    • Phys. JETP , vol.67 , pp. 530-534
    • Grigoryan, V.S.1    Maimistov, A.I.2    Sklyarov, Y.M.3
  • 18
    • 0001415482 scopus 로고    scopus 로고
    • Multisoliton solutions of the complex GinzburgLandau equation
    • N. Akhmediev, A. Ankiewicz and J. M. Soto-Crespo, Multisoliton solutions of the complex GinzburgLandau equation. Phys. Rev. Lett. 79 (1997) 4047-4051.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 4047-4051
    • Akhmediev, N.1    Ankiewicz, A.2    Soto-Crespo, J.M.3
  • 19
    • 0001523356 scopus 로고    scopus 로고
    • Pulse solutions of the cubic-quintic complex Ginzburg-Landau equation in the case of normal dispersion
    • J. M. Soto-Crespo, N. Akhmediev, V. V. Afanasjev and S. Wabnitz, Pulse solutions of the cubic-quintic complex Ginzburg-Landau equation in the case of normal dispersion. Phys. Rev. E 55 (1997) 4783-4796.
    • (1997) Phys. Rev. E , vol.55 , pp. 4783-4796
    • Soto-Crespo, J.M.1    Akhmediev, N.2    Afanasjev, V.V.3    Wabnitz, S.4
  • 20
    • 0343292431 scopus 로고    scopus 로고
    • Moving fronts for a complex Ginzburg-Landau equation with Raman term
    • A. Ankiewicz and N. Akhmediev, Moving fronts for a complex Ginzburg-Landau equation with Raman term. Phys. Rev. £58 (1998) 6723-6727.
    • (1998) Phys. Rev. £ , vol.58 , pp. 6723-6727
    • Ankiewicz, A.1    Akhmediev, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.