메뉴 건너뛰기




Volumn 45, Issue 3-4, 2005, Pages 227-299

Asymptotics for the travelling waves in the Gross-Pitaevskii equation

Author keywords

Asymptotic behaviour; Nonlinear Schr dinger equation; Travelling waves

Indexed keywords

ASYMPTOTIC STABILITY; FINITE ELEMENT METHOD;

EID: 28444458143     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (26)

References (17)
  • 1
    • 2442530451 scopus 로고    scopus 로고
    • Vortex rings for the Gross-Pitaevskii equation
    • F. Béthuel, G. Orlandi and D. Smets, Vortex rings for the Gross-Pitaevskii equation, J. Eur. Math. Soc. 6(1) (2004), 7-94.
    • (2004) J. Eur. Math. Soc. , vol.6 , Issue.1 , pp. 7-94
    • Béthuel, F.1    Orlandi, G.2    Smets, D.3
  • 2
    • 0037836463 scopus 로고    scopus 로고
    • Travelling waves for the Gross-Pitaevskii equation i
    • F. Béthuel and J.C. Saut, Travelling waves for the Gross-Pitaevskii equation I, Ann. Inst. H. Poincaré, Phys. Théor. 70(2) (1999), 147-238.
    • (1999) Ann. Inst. H. Poincaré, Phys. Théor. , vol.70 , Issue.2 , pp. 147-238
    • Béthuel, F.1    Saut, J.C.2
  • 4
    • 0031142252 scopus 로고    scopus 로고
    • Decay and analyticity of solitary waves
    • J.L. Bona and Yi A. Li, Decay and analyticity of solitary waves, J. Math. Pures Appl. 76 (1997), 377-430.
    • (1997) J. Math. Pures Appl. , vol.76 , pp. 377-430
    • Bona, J.L.1    Li, Y.A.2
  • 5
    • 0031502156 scopus 로고    scopus 로고
    • Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves
    • A. de Bouard and J.C. Saut, Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves, SIAM J. Math. Anal. 28(5) (1997), 1064-1085.
    • (1997) SIAM J. Math. Anal. , vol.28 , Issue.5 , pp. 1064-1085
    • De Bouard, A.1    Saut, J.C.2
  • 6
    • 3042636806 scopus 로고    scopus 로고
    • Travelling waves for the Gross-Pitaevskii equation in dimension larger than two
    • D. Chiron, Travelling waves for the Gross-Pitaevskii equation in dimension larger than two, Nonlinear Anal. 58(2) (2004), 175-204.
    • (2004) Nonlinear Anal. , vol.58 , Issue.2 , pp. 175-204
    • Chiron, D.1
  • 7
    • 0345492045 scopus 로고    scopus 로고
    • From ginzburg-landau to gross-pitaevskii
    • A. Farina, From Ginzburg-Landau to Gross-Pitaevskii, Monatsh. Math. 139(4) (2003), 265-269.
    • (2003) Monatsh. Math. , vol.139 , Issue.4 , pp. 265-269
    • Farina, A.1
  • 8
    • 0038106196 scopus 로고    scopus 로고
    • Limit at infinity for the travelling waves in the Gross-Pitaevskii equation
    • P. Gravejat, Limit at infinity for the travelling waves in the Gross-Pitaevskii equation, C. R. Acad. Sci. Paris Sér. I Math. 336 (2003), 147-152.
    • (2003) C. R. Acad. Sci. Paris Sér. I Math. , vol.336 , pp. 147-152
    • Gravejat, P.1
  • 9
    • 0344983000 scopus 로고    scopus 로고
    • A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
    • P. Gravejat, A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation, Comm. Math. Phys. 243(1) (2003), 93-103.
    • (2003) Comm. Math. Phys. , vol.243 , Issue.1 , pp. 93-103
    • Gravejat, P.1
  • 10
    • 4344609655 scopus 로고    scopus 로고
    • Decay for travelling waves in the Gross-Pitaevskii equation
    • P. Gravejat, Decay for travelling waves in the Gross-Pitaevskii equation, Ann. Inst. H. Poincaré, Anal. Non Linéaire 21(5) (2004), 591-637.
    • (2004) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.21 , Issue.5 , pp. 591-637
    • Gravejat, P.1
  • 11
    • 28444495640 scopus 로고    scopus 로고
    • Limit at infinity and non-existence results for sonic travelling waves in the Gross-Pitaevskii equation
    • P. Gravejat, Limit at infinity and non-existence results for sonic travelling waves in the Gross-Pitaevskii equation, Differential Integral Equations 17(11-12) (2004), 1213-1232.
    • (2004) Differential Integral Equations , vol.17 , Issue.11-12 , pp. 1213-1232
    • Gravejat, P.1
  • 13
    • 0001423717 scopus 로고
    • Motions in a Bose condensate V, Stability of wave solutions of non-linear Schrödinger equations in two and three dimensions
    • C.A. Jones, S.J. Putterman and PH. Roberts, Motions in a Bose condensate V, Stability of wave solutions of non-linear Schrödinger equations in two and three dimensions, J. Phys. A: Math. Gen. 19 (1986), 2991-3011.
    • (1986) J. Phys. A: Math. Gen. , vol.19 , pp. 2991-3011
    • Jones, C.A.1    Putterman, S.J.2    Roberts, P.H.3
  • 14
    • 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. Phys. A: Math. Gen. 15 (1982), 2599-2619.
    • (1982) J. Phys. A: Math. Gen. , vol.15 , pp. 2599-2619
    • Jones, C.A.1    Roberts, P.H.2
  • 15
    • 34250913931 scopus 로고
    • Quantumtheorie in Hydrodynamische form
    • E. Madelung, Quantumtheorie in Hydrodynamische form, Z. Phys. 40 (1926), 322-326.
    • (1926) Z. Phys. , vol.40 , pp. 322-326
    • Madelung, E.1
  • 16
    • 0038523543 scopus 로고    scopus 로고
    • Analyticity and decay properties of the solitary waves to the Benney-Luke equation
    • M. Maris, Analyticity and decay properties of the solitary waves to the Benney-Luke equation, Differential Integral Equations 14(3) (2001), 361-384.
    • (2001) Differential Integral Equations , vol.14 , Issue.3 , pp. 361-384
    • Maris, M.1
  • 17
    • 0036885448 scopus 로고    scopus 로고
    • On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation
    • M. Maris, On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation, Nonlinear Anal. 51(6) (2002), 1073-1085.
    • (2002) Nonlinear Anal. , vol.51 , Issue.6 , pp. 1073-1085
    • Maris, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.