Advances in Differential Equations

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

Philippe Gravejat

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In a previous paper [7], we investigated the asymptotic behaviour of subsonic travelling waves of finite energy for the Gross-Pitaevskii equation in every dimension $N \geq 2$. In particular, we gave their first-order asymptotics in case they were axisymmetric. In the present paper, we compute their first-order asymptotics at infinity in the general case.

Article information

Adv. Differential Equations, Volume 11, Number 3 (2006), 259-280.

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35B40: Asymptotic behavior of solutions 35C20: Asymptotic expansions 35Q51: Soliton-like equations [See also 37K40]


Gravejat, Philippe. First order asymptotics for the travelling waves in the Gross-Pitaevskii equation. Adv. Differential Equations 11 (2006), no. 3, 259--280.

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