Orbital Instability of Standing Waves for the Klein-Gordon-Zakharov System 被引量：1

Orbital Instability of Standing Waves for the Klein-Gordon-Zakharov System

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摘要 0 Introduction We consider the orbital instability of standing waves for the Klein-Gordon-Zakharov system with different propagation speeds in three space We consider the orbital instability of standing waves for the Klein-Gordon-Zakharov system with different propagation speeds in three space dimensions

作者甘在会蒋毅 JIAN Huaiyu

机构地区 College of Mathematics and Software Science 不详

出处《数学进展》 CSCD 北大核心 2008年第1期118-120,共3页 Advances in Mathematics（China）

基金 This work is supported by NSFC(No．10771151 and No．10726034) Sichuan Youth Sciences and Technology Foundation(No．07ZQ026-009) the Morningside Center．

关键词轨道不稳定性驻波 Klein-Gordon-Zakharov系统定理

分类号 O17 [理学—基础数学]

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参考文献1

1张健,甘在会.RESEARCH ANNOUNCEMENTS Sharp Conditions of Global Existence for Klein-Gordon-Zakharov Equations in Three Space Dimensions[J].数学进展,2005,34(2):241-244. 被引量：5

二级参考文献12

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共引文献4

1甘在会.Klein-Gordon-Zakharov系统中的交叉强制变分方法[J].应用数学学报,2008,31(1):180-189.
2甘在会,帅鲲.重新尺度化的Klein-Gordon-Zakharov系统的整体存在性(英文)[J].四川师范大学学报（自然科学版）,2011,34(1):110-122.
3蒋毅.带线性坍塌项和竞争势的非线性波动方程柯西问题的稳定集和不稳定集(英文)[J].数学进展,2011,40(6):673-680.
4王昌琳,刘莹,孙建强.分数阶Klein-Gordon-Zakharov方程新的保能量格式[J].海南大学学报（自然科学版）,2021,39(4):318-324.

同被引文献1

1张健,甘在会.RESEARCH ANNOUNCEMENTS Sharp Conditions of Global Existence for Klein-Gordon-Zakharov Equations in Three Space Dimensions[J].数学进展,2005,34(2):241-244. 被引量：5

引证文献1

1甘在会,帅鲲.重新尺度化的Klein-Gordon-Zakharov系统的整体存在性(英文)[J].四川师范大学学报（自然科学版）,2011,34(1):110-122.

1张卫国,秦英豪,李仪.广义Boussinesq方程孤立波的轨道不稳定性[J].上海理工大学学报,2009,31(2):103-107. 被引量：1
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3戴正德,郭柏灵.INERTIAL FRACTAL SETS FOR DISSIPATIVE ZAKHAROV SYSTEM[J].Acta Mathematicae Applicatae Sinica,1997,13(3):279-288. 被引量：6
4甘在会,帅鲲.重新尺度化的Klein-Gordon-Zakharov系统的整体存在性(英文)[J].四川师范大学学报（自然科学版）,2011,34(1):110-122.
5Gan Zaihui,Guo Boling,Zhang Jian.ORBITAL INSTABILITY OF STANDING WAVES FOR THE COUPLED NONLINEAR KLEIN-GORDON EQUATIONS[J].Journal of Partial Differential Equations,2008,21(4):303-314. 被引量：1
6Wen-xiong Chen,Min-bo Yang.Standing Waves for Periodic Discrete Nonlinear Schrdinger Equations with Asymptotically Linear Terms[J].Acta Mathematicae Applicatae Sinica,2012,28(2):351-360.
7赖绍永.THE GLOBAL AND LOCAL C^(2)-SOLUTIONS FOR THE WAVE EQUATION □u = G(u_t, Du) IN THREE SPACE DIMENSIONS[J].Acta Mathematica Scientia,2000,20(4):495-503. 被引量：2
8Yao Duan-zheng,Song Ke-hui,Xiong Gui-guang.Solution of Cauchy's Problem for Wave Equations in Higher Space Dimensions by Means of D'Alembert's Formula[J].Wuhan University Journal of Natural Sciences,2000,5(2):169-174.
9杨慧,GUO Bo-ling.Orbital Stability of Solitary Waves for Generalized Zakharov System[J].数学进展,2006,35(5):635-637. 被引量：1
10HAN LiJia,ZHANG JingJun,GAN ZaiHui,GUO BoLing.On the limit behavior of the magnetic Zakharov system[J].Science China Mathematics,2012,55(3):509-540. 被引量：1

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