Traveling waves for nonlinear Schrodinger equations with nonzero conditions at infinity

• 成果类型: Article
• 署名作者: Maris, Mihai
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2013.178.1.2
• 发表日期: 2013
• 页码: 107-182
• 关键词: gross-pitaevskii equation; bose condensate; ginzburg-landau; cauchy-problem; nonexistence; solitons; MOTIONS; SCATTERING; STABILITY; bubbles

摘要

For a large class of nonlinear Schrodinger equations with nonzero conditions at infinity and for any speed c less than the sound velocity, we prove the existence of nontrivial finite energy traveling waves moving with speed c in any space dimension N >= 3. Our results are valid as well for the Gross-Pitaevskii equation and for NLS with cubic-quintic nonlinearity.