메뉴 건너뛰기




Volumn 7, Issue 8, 2002, Pages 897-918

Stability and instability of traveling solitonic bubbles

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012309529     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (54)

References (21)
  • 1
    • 0000090777 scopus 로고
    • Stability and evolution of the quiesent and travelling solitonic bubbles
    • I.V. Barashenkov and E.Y. Panova, Stability and evolution of the quiesent and travelling solitonic bubbles, Physica D, 69 (1993), 114-134.
    • (1993) Physica D , vol.69 , pp. 114-134
    • Barashenkov, I.V.1    Panova, E.Y.2
  • 4
    • 0002258038 scopus 로고
    • Soliton-like "bubbles" in a system of interacting Bosons
    • I.V. Barashenkov and V.G. Makhankov, Soliton-like "bubbles" in a system of interacting Bosons, Phys. Lett. A., 128 (1988), 52-56.
    • (1988) Phys. Lett. A. , vol.128 , pp. 52-56
    • Barashenkov, I.V.1    Makhankov, V.G.2
  • 6
    • 0000919964 scopus 로고    scopus 로고
    • Stability criterion for dark solitons
    • I.V. Barashenkov, Stability criterion for dark solitons, Phys. Rev. Lett., 77 (1996), 1193-1197.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1193-1197
    • Barashenkov, I.V.1
  • 8
    • 0037836463 scopus 로고    scopus 로고
    • Travelling waves for the Gross-Pitaevskii equation. I
    • F. Bethuel and J.C. Saut, Travelling waves for the Gross-Pitaevskii equation. I, Ann. Inst. H. Poincaré Phys. Théor., 70 (1999), 147-238.
    • (1999) Ann. Inst. H. Poincaré Phys. Théor. , vol.70 , pp. 147-238
    • Bethuel, F.1    Saut, J.C.2
  • 9
    • 0023648120 scopus 로고
    • Stability and instability of solitary waves of Korteweg-de Vries type
    • J.L. Bona, P.E. Souganidis, and W.A. Strauss, Stability and instability of solitary waves of Korteweg-de Vries type, Proc. R. Soc. Lond. A, 411 (1987), 395-412.
    • (1987) Proc. R. Soc. Lond. A , vol.411 , pp. 395-412
    • Bona, J.L.1    Souganidis, P.E.2    Strauss, W.A.3
  • 10
    • 21344439232 scopus 로고    scopus 로고
    • Stability and instability of some nonlinear diapersive solitary waves in higher dimension
    • Anne, de Bouard, Stability and instability of some nonlinear diapersive solitary waves in higher dimension, Proc. R. Soc. Edinburgh, 126A (1996), 89-112.
    • (1996) Proc. R. Soc. Edinburgh , vol.126 A , pp. 89-112
    • De Bouard, A.1
  • 11
    • 0038884774 scopus 로고
    • Instability of stationary bubbles
    • Anne, de Bouard, Instability of stationary bubbles, Siam. J. Math. Anal., 26 (1995), 566-582.
    • (1995) Siam. J. Math. Anal. , vol.26 , pp. 566-582
    • De Bouard, A.1
  • 12
    • 0002267149 scopus 로고    scopus 로고
    • Remarks on the stability of generalized KP solitary waves, in Mathematical problems in the theory of water waves
    • Anne, de Bouard and J.C. Saut, Remarks on the stability of generalized KP solitary waves, in Mathematical problems in the theory of water waves, AMS Contemporary Mathematics, 200, 75-84, (1996).
    • (1996) AMS Contemporary Mathematics , vol.200 , pp. 75-84
    • De Bouard, A.1    Saut, J.C.2
  • 13
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry I
    • M. Grillakis, J. Shatah, and W.A. Strauss, Stability theory of solitary waves in the presence of symmetry I, J. Funct. Anal., 74 (1987), 160-197.
    • (1987) J. Funct. Anal. , vol.74 , pp. 160-197
    • Grillakis, M.1    Shatah, J.2    Strauss, W.A.3
  • 14
    • 11744356372 scopus 로고
    • Orbital stability of solitary waves for the nonlinear derivative Schrödinger equation
    • Guo BoLing and Wu YaPing, Orbital stability of solitary waves for the nonlinear derivative Schrödinger equation, J. Diff. Equations, 123 (1995), 35-55.
    • (1995) J. Diff. Equations , vol.123 , pp. 35-55
    • BoLing, G.1    YaPing, W.2
  • 15
    • 36149046137 scopus 로고
    • Motions in a Bose condensate IV: Axisymmetric solitary waves
    • C.A. Jones and P.H. Roberts, Motions in a Bose condensate IV: Axisymmetric solitary waves, J. Phy. A. Math. Gen., 15 (1982), 2599-2569.
    • (1982) J. Phy. A. Math. Gen. , vol.15 , pp. 2599-2569
    • Jones, C.A.1    Roberts, P.H.2
  • 16
    • 0001423717 scopus 로고
    • Motions in a Bose condensate V: Stability of solitary wave solutions of nonlinear Schrödinger equations in two, three dimensions
    • C.A. Jones and S.J. Putterman, and P.H. Roberts, Motions in a Bose condensate V: Stability of solitary wave solutions of nonlinear Schrödinger equations in two and three dimensions, J. Phy. A. Math. Gen., 19 (1986), 2591-3011.
    • (1986) J. Phy. A. Math. Gen. , vol.19 , pp. 2591-3011
    • Jones, C.A.1    Putterman, S.J.2    Roberts, P.H.3
  • 17
    • 0000120754 scopus 로고
    • Self-focusing instability of two-dimensional solitons and vortices
    • E.A. Kuznetsov and J.J. Rasmussen, Self-focusing instability of two-dimensional solitons and vortices, Phys. Rev. E, 51 (1995), 4479-4484.
    • (1995) Phys. Rev. E. , vol.51 , pp. 4479-4484
    • Kuznetsov, E.A.1    Rasmussen, J.J.2
  • 19
    • 84974399945 scopus 로고
    • Instability of a class of dispersive solitary waves
    • P.E. Souganidis and W.A. Strauss, Instability of a class of dispersive solitary waves, Proc. Roy. Soc. Edinburgh, 114A (1990), 195-212.
    • (1990) Proc. Roy. Soc. Edinburgh , vol.114 A , pp. 195-212
    • Souganidis, P.E.1    Strauss, W.A.2
  • 20
    • 84894462533 scopus 로고    scopus 로고
    • Some aspects of qualitative theory of nonlinear Korteweg-de Vries and Schrödinger equations
    • preprint
    • P.E. Zhidkov, Some aspects of qualitative theory of nonlinear Korteweg-de Vries and Schrödinger equations, preprint.
    • Zhidkov, P.E.1
  • 21
    • 34249832006 scopus 로고
    • Existence of solutions to the cauchy problem and stability of kink-solutions of the nonlinear Schrödinger equation
    • P.E. Zhidkov, Existence of solutions to the cauchy problem and stability of kink-solutions of the nonlinear Schrödinger equation, Siberian. Math. J., 33 (1992), 239-246.
    • (1992) Siberian. Math. J. , vol.33 , pp. 239-246
    • Zhidkov, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.