On the standing waves of quantum Zakharov system

Yung Fu Fang; Jun ichi Segata; Tsung Fang Wu

doi:10.1016/j.jmaa.2017.10.033

On the standing waves of quantum Zakharov system

Yung Fu Fang
, Jun ichi Segata
, Tsung Fang Wu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (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 language	English
Pages (from-to)	1427-1448
Number of pages	22
Journal	Journal of Mathematical Analysis and Applications
Volume	458
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2017.10.033
Publication status	Published - 2018 Feb 15

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2017.10.033

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title = "On the standing waves of quantum Zakharov system",

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.",

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year = "2018",

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doi = "10.1016/j.jmaa.2017.10.033",

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T1 - On the standing waves of quantum Zakharov system

AU - Fang, Yung Fu

AU - Segata, Jun ichi

AU - Wu, Tsung Fang

PY - 2018/2/15

Y1 - 2018/2/15

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85031698275

UR - https://www.scopus.com/pages/publications/85031698275#tab=citedBy

U2 - 10.1016/j.jmaa.2017.10.033

DO - 10.1016/j.jmaa.2017.10.033

M3 - Article

AN - SCOPUS:85031698275

SN - 0022-247X

VL - 458

SP - 1427

EP - 1448

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On the standing waves of quantum Zakharov system

Abstract

All Science Journal Classification (ASJC) codes

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