Gross-Pitaevskii 方程的行波解 II
偏微分方程分析
2009-02-09 v2
摘要
本文旨在严格证明二维和三维 Gross-Pitaevskii 方程行波解的存在性。我们的论证基于约束下的最小化，得出了完整的解分支，并扩展了早期仅构建了部分分支的结果。在三维情形下，我们还证明了不存在小能量的行波解。
引用
@article{arxiv.0711.2408,
title = {Travelling waves for the Gross-Pitaevskii equation II},
author = {Fabrice Bethuel and Philippe Gravejat and Jean-Claude Saut},
journal= {arXiv preprint arXiv:0711.2408},
year = {2009}
}
备注
Final version accepted for publication in Communications in Mathematical Physics with a few minor corrections and added remarks