具有外部势能的 NLS 的快速孤子传输

IF 1.1 3区数学 Q1 MATHEMATICS

Discrete and Continuous Dynamical Systems Pub Date : 2023-10-10 DOI:10.3934/dcds.2023142

Christopher C. Hogan, Jason Murphy

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引用次数: 0

摘要

我们考虑了在带有外部势能的立方 NLS 下演化的助长孤子的动力学。我们的研究表明，在速度足够大的情况下，孤子可以有效地穿过势。这一结果扩展了 Holmer、Marzuola 和 Zworski 的研究，后者考虑的是没有束缚态的三角势的情况，而 Datchev 和 Holmer 则考虑了有线性束缚态的三角势的情况。

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Transmission of fast solitons for the NLS with an external potential

We consider the dynamics of a boosted soliton evolving under the cubic NLS with an external potential. We show that for sufficiently large velocities, the soliton is effectively transmitted through the potential. This result extends work of Holmer, Marzuola, and Zworski, who considered the case of a delta potential with no bound states, and work of Datchev and Holmer, who considered the case of a delta potential with a linear bound state.

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来源期刊

Discrete and Continuous Dynamical Systems 数学-数学

CiteScore

2.50

自引率

0.00%

发文量

175

审稿时长

6 months

期刊介绍： DCDS, series A includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.