SOLITARY_WAVES

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Orbital Stability of Solitary Waves of Compound KdV-type Equation
《Acta Mathematicae Applicatae Sinica》2015年第4期1033-1042,共10页Wei-guo ZHANG Hui-wen Li Xiao-shuang BU Lan-yun BIAN 
Supported by the National Natural Science Foundation of China(No.11471215);Innovation Program of Shanghai Municipal Education Commission(No.13ZZ118);Shanghai Leading Academic Discipline Project(No.XTKX2012);Hujiang Foundation of China(No.B14005)
In this paper, we study the orbital stability of solitary waves of compound KdV-type equation in the form of ut ＋ auPux ＋ bu2pux ＋ Uzzz = 0 （b 〉 0, p 〉 0）. Our results imply that orbital stability of solitary w...
关键词：orbital stability compound KdV-type equation solitary waves spectral analysis 
Stability/Instability of Solitary waves with Nonzero Asymptotic Value for a PDE in Microstructural Solid Materials
《Acta Mathematicae Applicatae Sinica》2015年第3期693-700,共8页Ye ZHAO Miao-chao CHEN 
Research is supported by Science Foundation of the Education Commission of Beijing(No.KM201210017008);National Natural Science Foundation of China under Grants(No.61403034);Youth Foundation of Beijing Institute of Petrolchemical Technology(No.N10-04)
The present paper deals with results of stability/instability of solitary waves with nonzero asymptotic value for a microstructure PDE. By the exact solitary wave solutions and detailed computations, we set up the exp...
关键词：solitary waves microstructured solid orbital stability/instability spectral analysis 
Existence,Orbital Stability and Instability of Solitary Waves for Coupled BBM Equations
《Acta Mathematicae Applicatae Sinica》2009年第1期1-10,共10页Li-wei Cui 
Supported by the National Natural Science Foundation of China(No.10271082,10671131);Beijing Natural Science Foundation(No.1052003)
This paper is concerned with the orbital stability/instability of solitary waves for coupled BBM equations which have Hamiltonian form. The explicit solitary wave solutions will be worked out first. Then by detailed s...
关键词：Solitary wave orbital stability/instability spectral analysis decaying estimate 
Instability of Solitary Waves in Nonlinear Composite Media
《Acta Mathematicae Applicatae Sinica》2007年第2期311-318,共8页Ye Zhao 
the National Natural Science Foundation of China(No.10271082,No.10671131);Beijing Natural Science Foundation(No.1052003)
In this paper, we investigate a class of Hamiltonian systems arising in nonlinear composite media. By detailed analysis and computation we obtain a decaying estimates on the semigroup and prove the orbital instability...
关键词：Solitary wave orbital instability composite WELL-POSEDNESS SPECTRUM 
Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation
《Acta Mathematicae Applicatae Sinica》2005年第1期125-134,共10页Wen-lingZhang 
We present in this paper a generalised PC (GPC) equation which includesseveral known models. The corresponding traveling wave system is derived and we show that thehomoclinic orbits of the traveling wave system corres...
关键词：GPC equation solitary waves kink waves 
ORBITAL STABILITY OF SOLITARY WAVES FOR THE KLEIN-GORDON-ZAKHAROV EQUATIONS被引量：1
《Acta Mathematicae Applicatae Sinica》1999年第1期54-64,共11页陈林 
This paper concerns the orbital stability of solitary waves of the Klein- Gordon- Zakharov equations. By applying the abstract results of [1, 2] and detailed spectral analysis, we obtain the stability of solitary waves.
关键词：Solitary wave STABILITY Klein-Gordon-Zakharov equations 
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