First order asymptotics for the travelling waves in the gross-Pitaevskii equation

Advances in Differential Equations

Volumn 11, Issue 3, 2006, Pages 259-280

  Gravejat, Philippe ^a  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

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EID: 56349089050     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. F. Béthuel, G. Orlandi, and D. Smets, Vortex rings for the Gross-Pitaevskii equation, J. Eur. Math. Soc., 6 (2004), 17-94.
2. F. Béthuel and J.C. Saut, Travelling waves for the Gross-Pitaevskii equation I, Ann. Inst. Henri Poincaré, Physique théorique, 70 (1999), 147-238.
3. F. Béthuel and J.C. Saut, Travelling waves for the Gross-Pitaevskii equation II, preprint.
4. D. Chiron, Travelling waves for the Gross-Pitaevskii equation in dimension larger than two, Nonlinear Anal., 58 (2004), 175-204.
5. P. Gravejat, A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation, Comm. Math. Phys., 243 (2003), 93-103.
6. P. Gravejat, Limit at infinity and non-existence results for sonic travelling waves in the Gross-Pitaevskii equation, Differential Integral Equations, 17 (2004), 1213-1232.
7. P. Gravejat, Asymptotics for the travelling waves in the Gross-Pitaevskii equation, Asympt. Anal., 45 (2005), 227-299.
8. P. Gravejat, Asymptotics for the solitary waves in the generalised Kadomtsev-Petviashvili equations, preprint.
9. C.A. Jones, S.J. Putterman, and P.H. Roberts, Motions in a Bose condensate V, Stability of wave solutions of nonlinear Schrödinger equations in two and three dimensions, J. Phys. A. Math. Gen., 19 (1986), 2991-3011.
10. 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.