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Volumn 11, Issue 2, 2010, Pages 142-147

Three-dimensional ginzburg-landau dissipative solitons supported by a two-dimensional transverse grating

Author keywords

Dissipative solitons; Optical lattices; Spatiotemporal solitons; Vortex solitons

Indexed keywords


EID: 80053991436     PISSN: 14549069     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (45)

References (36)
  • 1
    • 0036013603 scopus 로고    scopus 로고
    • The world of the complex Ginzburg-Landau equation
    • S. ARANSON, L. KRAMER, The world of the complex Ginzburg-Landau equation, Rev. Mod. Phys., 74, pp. 99-143, 2002.
    • (2002) Rev. Mod. Phys , vol.74 , pp. 99-143
    • Aranson, S.1    Kramer, L.2
  • 4
    • 0000757338 scopus 로고
    • Swift-Hohenberg equation for laser
    • J. LEGA, J. V. MOLONEY, A. C. NEWELL, Swift-Hohenberg equation for laser, Phys. Rev. Lett., 73, pp. 2978-2981, 1994.
    • (1994) Phys. Rev. Lett , vol.73 , pp. 2978-2981
    • Lega, J.1    Moloney, J.V.2    Newell, A.C.3
  • 5
    • 67650514765 scopus 로고    scopus 로고
    • Dissipative solitons: From optics to biology and medicine
    • (Eds.), Springer, Berlin
    • N. AKHMEDIEV, A. ANKIEWICZ (Eds.), Dissipative solitons: From optics to biology and medicine, Lect. Notes Phys., 751, Springer, Berlin, 2008.
    • (2008) Lect. Notes Phys , pp. 751
    • Akhmediev, N.1    Ankiewicz, A.2
  • 7
    • 54149099352 scopus 로고    scopus 로고
    • Ginzburg-Landau spatiotemporal dissipative optical solitons
    • D. MIHALACHE, D. MAZILU, Ginzburg-Landau spatiotemporal dissipative optical solitons, Rom. Rep. Phys., 60, pp. 749-761, 2008.
    • (2008) Rom. Rep. Phys , vol.60 , pp. 749-761
    • Mihalache, D.1    Mazilu, D.2
  • 8
    • 70350171586 scopus 로고    scopus 로고
    • On the existence and stability of three-dimensional solitons and vortices in optics and Bose-Einstein condensate: Occurence of swallowtail bifurcations
    • D. MIHALACHE, D. MAZILU, On the existence and stability of three-dimensional solitons and vortices in optics and Bose-Einstein condensate: occurence of swallowtail bifurcations, Rom. Rep. Phys., 60, pp. 957-975, 2008.
    • (2008) Rom. Rep. Phys , vol.60 , pp. 957-975
    • Mihalache, D.1    Mazilu, D.2
  • 9
    • 70350152897 scopus 로고    scopus 로고
    • Three-dimensional Ginzburg-Landau solitons: Collision scenarios
    • D. MIHALACHE, D. MAZILU, Three-dimensional Ginzburg-Landau solitons: Collision scenarios, Rom. Rep. Phys., 61, pp. 175-189, 2009.
    • (2009) Rom. Rep. Phys , vol.61 , pp. 175-189
    • Mihalache, D.1    Mazilu, D.2
  • 10
    • 73149090574 scopus 로고    scopus 로고
    • Ginzburg-Landau surface light bullets in photonic lattices
    • D. MIHALACHE, D. MAZILU, Ginzburg-Landau surface light bullets in photonic lattices, Rom. Rep. Phys., 61, pp. 587608, 2009.
    • (2009) Rom. Rep. Phys , vol.61 , pp. 587608
    • Mihalache, D.1    Mazilu, D.2
  • 11
  • 12
    • 4143103247 scopus 로고    scopus 로고
    • Stable spinning optical solitons in three dimensions
    • D. MIHALACHE et al., Stable spinning optical solitons in three dimensions, Phys. Rev. Lett., 88, 073902, 2002.
    • (2002) Phys. Rev. Lett , vol.88 , pp. 073902
    • Mihalache, D.1
  • 13
    • 37649026916 scopus 로고    scopus 로고
    • Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities
    • D. MIHALACHE et al., Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities, Phys. Rev., E 66, 016613, 2002.
    • (2002) Phys. Rev., e , vol.66 , pp. 016613
    • Mihalache, D.1
  • 14
    • 33646382408 scopus 로고    scopus 로고
    • Vortex stability in nearly-two-dimensional Bose-Einstein condensates with attraction
    • D. MIHALACHE, D. MAZILU, B. A. MALOMED, F. LEDERER, Vortex stability in nearly-two-dimensional Bose-Einstein condensates with attraction, Phys. Rev., A 73, 043615, 2006.
    • (2006) Phys. Rev., A , vol.73 , pp. 043615
    • Mihalache, D.1    Mazilu, D.2    Malomed, B.A.3    Lederer, F.4
  • 15
    • 33845458391 scopus 로고    scopus 로고
    • On stability of vortices in three-dimensional self-attractive Bose-Einstein condensates
    • B. A. MALOMED, F. LEDERER, D. MAZILU, D. MIHALACHE, On stability of vortices in three-dimensional self-attractive Bose-Einstein condensates, Phys. Lett., A 361, pp. 336-340, 2007.
    • (2007) Phys. Lett., A , vol.361 , pp. 336-340
    • Malomed, B.A.1    Lederer, F.2    Mazilu, D.3    Mihalache, D.4
  • 17
    • 37649028189 scopus 로고    scopus 로고
    • Multidimensional solitons in a low-dimensional periodic potential
    • B. B. BAIZAKOV, B. A. MALOMED, M. SALERNO, Multidimensional solitons in a low-dimensional periodic potential, Phys. Rev., A 70, 053613, 2004.
    • (2004) Phys. Rev., A , vol.70 , pp. 053613
    • Baizakov, B.B.1    Malomed, B.A.2    Salerno, M.3
  • 20
    • 34548059753 scopus 로고    scopus 로고
    • Three-dimensional vortex solitons in quasi-two-dimensional lattices
    • H. LEBLOND, B. A. MALOMED, D. MIHALACHE, Three-dimensional vortex solitons in quasi-two-dimensional lattices, Phys. Rev., E 76, 026604, 2007.
    • (2007) Phys. Rev., e , vol.76 , pp. 026604
    • Leblond, H.1    Malomed, B.A.2    Mihalache, D.3
  • 22
    • 18644385886 scopus 로고    scopus 로고
    • Stable vortex solitons in the two-dimensional Ginzburg-Landau equation
    • L.-C. CRASOVAN, B. A. MALOMED, D. MIHALACHE, Stable vortex solitons in the two-dimensional Ginzburg-Landau equation, Phys. Rev., E 63, 016605, 2001.
    • (2001) Phys. Rev., e , vol.63 , pp. 016605
    • Crasovan, L.-C.1    Malomed, B.A.2    Mihalache, D.3
  • 23
    • 0038669369 scopus 로고    scopus 로고
    • Erupting, flat-top, and composite spiral solitons in the twodimensional Ginzburg-Landau equation
    • L.-C. CRASOVAN, B. A. MALOMED, D. MIHALACHE, Erupting, flat-top, and composite spiral solitons in the twodimensional Ginzburg-Landau equation, Phys. Lett., A 289, pp. 59-65, 2001.
    • (2001) Phys. Lett., A , vol.289 , pp. 59-65
    • Crasovan, L.-C.1    Malomed, B.A.2    Mihalache, D.3
  • 24
    • 70349499477 scopus 로고    scopus 로고
    • Stable vortex solitons in the Ginzburg-Landau model of a two-dimensional lasing medium with a transverse grating
    • H. LEBLOND, B. A. Malomed, D. MIHALACHE, Stable vortex solitons in the Ginzburg-Landau model of a two-dimensional lasing medium with a transverse grating, Phys. Rev., A 80, 033835, 2009.
    • (2009) Phys. Rev., A , vol.80 , pp. 033835
    • Leblond, H.1    Malomed, B.A.2    Mihalache, D.3
  • 25
    • 27744483823 scopus 로고    scopus 로고
    • Light bullets and dynamic pattern formation in nonlinear dissipative systems
    • P. GRELU, J. M. SOTO-CRESPO, N. AKHMEDIEV, Light bullets and dynamic pattern formation in nonlinear dissipative systems, Opt. Express, 13, pp. 9352-9360, 2005.
    • (2005) Opt. Express , vol.13 , pp. 9352-9360
    • Grelu, P.1    Soto-Crespo, J.M.2    Akhmediev, N.3
  • 26
    • 32644482554 scopus 로고    scopus 로고
    • Stability criterion for dissipative soliton solutions of the one-, two-, and three-dimensional complex cubic-quintic Ginzburg-Landau equation
    • V. SKARKA, N. B. ALEKSIC, Stability criterion for dissipative soliton solutions of the one-, two-, and three-dimensional complex cubic-quintic Ginzburg-Landau equation, Phys. Rev. Lett., 96, 013903, 2006.
    • (2006) Phys. Rev. Lett , vol.96 , pp. 013903
    • Skarka, V.1    Aleksic, N.B.2
  • 27
    • 70349694250 scopus 로고    scopus 로고
    • Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg-Landau equations with a linear potential
    • Y. J. HE, et al., Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg-Landau equations with a linear potential, Opt. Lett., 34, pp. 2976-2978, 2009.
    • (2009) Opt. Lett , vol.34 , pp. 2976-2978
    • He, Y.J.1
  • 29
    • 33947655475 scopus 로고    scopus 로고
    • Stability of dissipative optical solitons in the three-dimensional cubic-quintic Ginzburg-Landau equation
    • D. MIHALACHE, D. MAZILU, F. LEDERER, H. LEBLOND, B. A. MALOMED, Stability of dissipative optical solitons in the three-dimensional cubic-quintic Ginzburg-Landau equation, Phys. Rev., A 75, 033811, 2007.
    • (2007) Phys. Rev., A , vol.75 , pp. 033811
    • Mihalache, D.1    Mazilu, D.2    Lederer, F.3    Leblond, H.4    Malomed, B.A.5
  • 30
    • 35548968044 scopus 로고    scopus 로고
    • Stability limits for three-dimensional vortex solitons in the Ginzburg-Landau equation with the cubic-quintic nonlinearity
    • D. MIHALACHE, D. MAZILU, F. LEDERER, H. LEBLOND, B. A. MALOMED, Stability limits for three-dimensional vortex solitons in the Ginzburg-Landau equation with the cubic-quintic nonlinearity, Phys. Rev., A 76, 045803, 2007.
    • (2007) Phys. Rev., A , vol.76 , pp. 045803
    • Mihalache, D.1    Mazilu, D.2    Lederer, F.3    Leblond, H.4    Malomed, B.A.5
  • 31
    • 69249112304 scopus 로고    scopus 로고
    • Dissipative light bullets in an optical parametric oscillator
    • N. VERETENOV, M. TLIDI, Dissipative light bullets in an optical parametric oscillator, Phys. Rev., A 80, 023822, 2009.
    • (2009) Phys. Rev., A , vol.80 , pp. 023822
    • Veretenov, N.1    Tlidi, M.2
  • 32
    • 33750248139 scopus 로고    scopus 로고
    • Optical bullets and double bullet complexes in dissipative systems
    • J. M. SOTO-CRESPO, N. AKHMEDIEV, P. GRELU, Optical bullets and double bullet complexes in dissipative systems, Phys. Rev., E 74, 046612, 2006.
    • (2006) Phys. Rev., e , vol.74 , pp. 046612
    • Soto-Crespo, J.M.1    Akhmediev, N.2    Grelu, P.3
  • 33
    • 40849111489 scopus 로고    scopus 로고
    • Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation
    • D. MIHALACHE, D. MAZILU, F. LEDERER, H. LEBLOND, B. A. MALOMED, Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation, Phys. Rev., A 77, 033817, 2008.
    • (2008) Phys. Rev., A , vol.77 , pp. 033817
    • Mihalache, D.1    Mazilu, D.2    Lederer, F.3    Leblond, H.4    Malomed, B.A.5
  • 34
    • 56649103433 scopus 로고    scopus 로고
    • Collisions between counter-rotating solitary vortices in the three-dimensional Ginzburg-Landau equation
    • D. MIHALACHE, D. MAZILU, F. LEDERER, H. LEBLOND, B. A. MALOMED, Collisions between counter-rotating solitary vortices in the three-dimensional Ginzburg-Landau equation, Phys. Rev., E 78, 056601, 2008.
    • (2008) Phys. Rev., e , vol.78 , pp. 056601
    • Mihalache, D.1    Mazilu, D.2    Lederer, F.3    Leblond, H.4    Malomed, B.A.5
  • 35
    • 67650866228 scopus 로고    scopus 로고
    • Collisions between spinning and nonspinning co-axial three-dimensional Ginzburg-Landau solitons
    • D. MIHALACHE, D. MAZILU, F. LEDERER, H. LEBLOND, B. A. MALOMED, Collisions between spinning and nonspinning co-axial three-dimensional Ginzburg-Landau solitons, Eur. Phys. J. Special Topics, 173, pp. 245-254, 2009.
    • (2009) Eur. Phys. J. Special Topics , vol.173 , pp. 245-254
    • Mihalache, D.1    Mazilu, D.2    Lederer, F.3    Leblond, H.4    Malomed, B.A.5
  • 36
    • 76649116864 scopus 로고    scopus 로고
    • Spatiotemporal solitons in the Ginzburg-Landau model with a two-dimensional transverse grating
    • D. MIHALACHE, D. MAZILU, F. LEDERER, H. LEBLOND, B. A. MALOMED, Spatiotemporal solitons in the Ginzburg-Landau model with a two-dimensional transverse grating, Phys. Rev., A 81, 025801, 2010.
    • (2010) Phys. Rev., A , vol.81 , pp. 025801
    • Mihalache, D.1    Mazilu, D.2    Lederer, F.3    Leblond, H.4    Malomed, B.A.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.