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

Philippe Gravejat

Abstract

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

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

Dates
First available in Project Euclid: 18 December 2012