DAVEY-STEWARTSON

作品数:37被引量:44H指数:3
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相关领域:理学更多>>
相关作者:刘绍庆方宗德张金良王明亮刘常福更多>>
相关机构:云南大学华中科技大学天津大学山东科技大学更多>>
相关期刊:《Progress in Natural Science:Materials International》《大学数学》《湖南工程学院学报(自然科学版)》《Acta Mechanica Sinica》更多>>
相关基金:国家自然科学基金国家教育部博士点基金河南省自然科学基金河南省教委自然科学基金更多>>
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A LOW-REGULARITY FOURIER INTEGRATOR FOR THE DAVEY-STEWARTSON II SYSTEM WITH ALMOST MASS CONSERVATION
《Acta Mathematica Scientia》2024年第4期1536-1549,共14页Cui NING Chenxi HAO Yaohong WANG 
supported by the NSFC(11901120);supported by the NSFC(12171356);the Science and Technology Program of Guangzhou,China(2024A04J4027)。
In this work,we propose a low-regularity Fourier integrator with almost mass conservation to solve the Davey-StewartsonⅡsystem(hyperbolic-elliptic case).Arbitrary order mass convergence could be achieved by the suita...
关键词:Davey-StewartsonⅡsystem low-regularity exponential integrator first order accuracy mass conservation 
Davey-Stewartson系列的无色散化探讨被引量:2
《大学数学》2021年第5期37-41,共5页廖显金 易戈 
从Davey-Stewartson(DS)系列的定义和性质出发,按照标准的无色散方法,研究了DS系列的无色散(半经典)极限.利用整个系列的特征函数的WKB表示,在无色散极限下,得到了无色散DS系列的哈密顿-雅可比型的非线性Lax表示,给出了无色散DS系列的...
关键词:DS系列 半经典极限 WKB表示 流方程 
ON THE INSTA BILITY OF GROUND STATES FOR A GENER ALIZED DAVEY-STEWA RTSON SYSTEM
《Acta Mathematica Scientia》2020年第4期1081-1090,共10页Yuanping DENG Xiaoguan LI Qian SHENG 
the National Natural Science Foundation of China(11771314).
In this paper,we give a simpler proof for Ohta’s theorems[1995,Ann.Inst.Henri Poincare,63,111;1995,DifF.Integral Eq.,8,1775]on the strong instability of the ground states for a generalized Davey-Stewartson system.In ...
关键词:Ohta's theorems Storng instability Davey-Stewartson system Standing waves 
Solitary wave solutions for the variable-coefficient coupled nonlinear Schrödinger equations and Davey-Stewartson system using modified sine-Gordon equation method被引量:3
《Journal of Ocean Engineering and Science》2020年第2期180-185,共6页Rehab M.El-Shiekh Mahmoud Gaballah 
The authors would like to thank the Deanship of Scientific Research,Majmaah University,Saudi Arabia,for funding this work under project No.R-1441-26.
In this study,the sine-Gordon equation method is modified to deal with variable-coefficient systems containing imaginary parts,such as nonlinear Schrödinger systems.These are of considerable importance in many fields ...
关键词:Coupled nonlinear Schrödinger equations Davey-Stewartson system with variable coefficients Sine-Gordon equation method Solitary waves 
Energy Scattering of a Generalized Davey–Stewartson System in Three Dimension
《Acta Mathematica Sinica,English Series》2017年第9期1206-1224,共19页Jing LU Xing Dong TANG 
In this paper, we study the global scattering result of the solution for the generalized Davey-Stewartson system The main difficulties are the failure of the interaction Morawetz estimate and the asymmetrical structur...
关键词:Davey-Stewartson system SCATTER global well-posedness 
Multi-solitons for a generalized Davey-Stewartson system
《Science China Mathematics》2017年第4期651-670,共20页WANG Zhong CUI ShangBin 
supported by National Natural Science Foundation of China (Grant No. 11571381)
This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear SchrSdinger eq...
关键词:Davey-Stewartson system multi-solitons EXISTENCE NONLOCAL 
广义Davey-Stewartson的精确解(英文)被引量:1
《上海师范大学学报(自然科学版)》2015年第3期330-338,共9页曹军 鲁慧媛 
supported by the National Natural Science Foundation of China(11361069);the Natural Science Foundation of Educational Department of Yunnan Province(2013Y482)
利用动力系统分支方法研究广义Davey-Stewartson方程的精确行波解,给出了分支相图和分支分析,根据分支分析求出该方程的几组解.
关键词:分支方法 广义Davey—Stewartson方程 行波解 
On the Semi-Discrete Davey-Stewartson System with Self-Consistent Sources
《Journal of Applied Mathematics and Physics》2015年第5期478-487,共10页Gegenhasi   
A differential-difference Davey-Stewartson system with self-consistent sources is constructed using the source generation procedure. We observe how the resulting coupled discrete system reduces to the identities for d...
关键词:Differential-Difference DAVEY-STEWARTSON SYSTEM Source Generalization Procedure Discrete Gram-Type DETERMINANT Casorati-Type DETERMINANT 
Blow-up Dynamics of L^2 Solutions for the Davey–Stewartson System被引量:1
《Acta Mathematica Sinica,English Series》2015年第3期411-429,共19页Shi Hui ZHU 
Supported by National Natural Science Foundation of China(Grant No.11371267);Research Fund for the Doctoral Program of Higher Education of China(Grant No.20125134120001)
We study the blow-up solutions for the Davey-Stewartson system(D-S system, for short)in L2x(R2). First, we give the nonlinear profile decomposition of solutions for the D-S system. Then, we prove the existence of ...
关键词:Davey-Stewartson system minimal mass blow-up solution profile decomposition limiting profile mass concentration 
(2+1)维Davey-Stewartson Ⅱ方程的精确解被引量:3
《广西科技大学学报》2015年第1期96-102,共7页施业琼 
广西自然科学基金项目(No.2014GXNSFAA118022;No.0832065;No.A018137);广西教育厅科研课题项目(2013YB178)资助
通过引入并扩展(G′/G)-展开法,构造出(2+1)维Davey-StewartsonⅡ系统的3种形式的新精确通解:双曲函数通解,三角函数通解,有理函数通解.
关键词:(2+1)维Davey-Stewartson方程 (G'/G)-展开法 精确解 
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