On the standing waves of quantum Zakharov system

Yung-Fu Fang, Jun ichi Segata, Tsung Fang Wu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this work, we study the quantum Zakharov system which describes the nonlinear interaction between high-frequency quantum Langmuir waves and low-frequency quantum ion-acoustic waves. We show the existence and the stability of the standing waves of quantum Zakharov system for the spacial dimensions d=1,2,3.

Original languageEnglish
Pages (from-to)1427-1448
Number of pages22
JournalJournal of Mathematical Analysis and Applications
Volume458
Issue number2
DOIs
Publication statusPublished - 2018 Feb 15

Fingerprint

Standing Wave
Quantum Systems
Ion acoustic waves
Nonlinear Interaction
Acoustic Waves
Low Frequency

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Fang, Yung-Fu ; Segata, Jun ichi ; Wu, Tsung Fang. / On the standing waves of quantum Zakharov system. In: Journal of Mathematical Analysis and Applications. 2018 ; Vol. 458, No. 2. pp. 1427-1448.
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On the standing waves of quantum Zakharov system. / Fang, Yung-Fu; Segata, Jun ichi; Wu, Tsung Fang.

In: Journal of Mathematical Analysis and Applications, Vol. 458, No. 2, 15.02.2018, p. 1427-1448.

Research output: Contribution to journalArticle

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