WKB analysis of the Schrödinger-KdV system

Chi Kun Lin, Junichi Segata

研究成果: ジャーナルへの寄稿記事

1 引用 (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.

元の言語英語
ページ(範囲)3817-3834
ページ数18
ジャーナルJournal of Differential Equations
256
発行部数11
DOI
出版物ステータス出版済み - 6 1 2014

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Water waves
Korteweg-de Vries Equation
Wave Interaction
Water Waves
Energy Method
Semiclassical Approximation
Behavior of Solutions
Derivatives
Justify
Existence of Solutions
Transform
Derivative

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

これを引用

WKB analysis of the Schrödinger-KdV system. / Lin, Chi Kun; Segata, Junichi.

:: Journal of Differential Equations, 巻 256, 番号 11, 01.06.2014, p. 3817-3834.

研究成果: ジャーナルへの寄稿記事

Lin, Chi Kun ; Segata, Junichi. / WKB analysis of the Schrödinger-KdV system. :: Journal of Differential Equations. 2014 ; 巻 256, 番号 11. pp. 3817-3834.
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