WKB analysis of the Schrödinger-KdV system

Chi Kun Lin, Jun ichi Segata

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

We consider the behavior of solutions to the water wave interaction equations in the limit ε→0+. To justify the semiclassical approximation, we reduce the water wave interaction equation into some hyperbolic-dispersive system by using a modified Madelung transform. The reduced system causes loss of derivatives which prevents us to apply the classical energy method to prove the existence of solution. To overcome this difficulty we introduce a modified energy method and construct the solution to the reduced system.

本文言語英語
ページ(範囲)3817-3834
ページ数18
ジャーナルJournal of Differential Equations
256
11
DOI
出版ステータス出版済み - 6 1 2014
外部発表はい

All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

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