国家自然科学基金(11175092)

作品数:8被引量:5H指数:1
导出分析报告
相关作者:罗嗣龙李玉奇万云珍吴江龙更多>>
相关机构:宁波大学更多>>
相关期刊:《Chinese Physics B》《Chinese Annals of Mathematics,Series B》《宁波大学学报(理工版)》更多>>
相关主题:英文PAINLEVETRUNCATEDSUPERSYMMETRICAKNS方程更多>>
相关领域:理学更多>>
-

检索结果分析

结果分析中...
条 记 录,以下是1-8
视图:
排序:
Multiple Darboux–B?cklund transformations via truncated Painleve′ expansion and Lie point symmetry approach被引量:4
《Chinese Physics B》2018年第6期103-108,共6页Shuai-Jun Liu Xiao-Yan Tang Sen-Yue Lou 
supported by the National Natural Science Foundation of China(Grant Nos.11675055,11175092,and 11205092);the Program from Shanghai Knowledge Service Platform for Trustworthy Internet of Things(Grant No.ZF1213);K C Wong Magna Fund in Ningbo University
For a given truncated Painleve′ expansion of an arbitrary nonlinear Painleve′ integrable system, the residue with respect to the singularity manifold is known as a nonlocal symmetry, called the residual symmetry, wh...
关键词:residue symmetry multiple Darboux-Baicklund transformation Lie point symmetry approach 
Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system
《Chinese Physics B》2015年第5期148-152,共5页王建勇 唐晓艳 梁祖峰 楼森岳 
supported by the National Natural Science Foundation of China(Grant Nos.11275123,11175092,11475052,and 11435005);the Shanghai Knowledge Service Platform for Trustworthy Internet of Things,China(Grant No.ZF1213);the Talent Fund and K C Wong Magna Fund in Ningbo University,China
The formal series symmetry approach (FSSA), a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supe...
关键词:formal series symmetry approach generalized symmetry infinite dimensional Lie algebra supersymmetric Boiti-Leon-Manna-Pempinelli system 
基于约束和双朗斯基的二阶AKNS方程的孤子解研究(英文)
《宁波大学学报(理工版)》2013年第4期82-86,共5页万云珍 李玉奇 罗嗣龙 
Supported by the National Natural Science Foundation of China(11175092);Zhejiang Provincial Natural Science Foundation(R6090717);Ningbo Natural Science Foundation(2009B21003,2010A610103,2010A610095)
鉴于双朗斯基技术给出了二阶AKNS方程的双朗斯基解,而约束技术又可以得到AKNS方程族一切孤子解的情况,因此,通过双朗斯基行列式序列找出了这两类解之间的联系,并通过定理证明其满足由约束技术得到的约束序列,且双朗斯基解也满足相应的...
关键词:AKNS方程 双朗斯基技术 孤子约束方法 
三阶AKNS方程的孤子解与双Wronskian解之间的联系(英文)
《宁波大学学报(理工版)》2013年第3期72-76,共5页罗嗣龙 李玉奇 
Supported by the National Natural Science Foundation of China(11175092);Zhejiang Provincial Natural Science Foundation(R6090717);National Science Foundation of Ningbo(2009B21003,2010A610103,2010A610095)
AKNS方程的孤子解完全可以用双朗斯基解来表示.笔者通过约束方法便捷地求出了它的多孤子解.同时证明了三阶AKNS方程的每个双朗斯基解都是不变流形的约束类型.
关键词:AKNS方程 双朗斯基技术 不变流形的约束法 
Finite symmetry transformation group and localized structures of the (2+1)-dimensional coupled Burgers equation
《Chinese Physics B》2013年第4期46-49,共4页雷娅 杨铎 
Project supported by the National Natural Science Foundation of China (Grant No. 11175092);the Scientific Research Fund of Education Department of Zhejiang Province of China (Grant No. Y201017148);K. C. Wong Magna Fund in Ningbo University
In this paper, the finite symmetry transformation group of the (2+1)-dimensional coupled Burgers equation is studied by the modified direct method, and with the help of the truncated Painleve′ expansion approach, ...
关键词:finite transformation group modified direct method truncated Painleve′ expansion approach localized structure 
Approximate solutions of nonlinear PDEs by the invariant expansion
《Chinese Physics B》2012年第12期31-36,共6页吴江龙 楼森岳 
Project supported by the National Natural Science Foundation of China(Grant No.11175092);Scientific Research Fund of Zhejiang Provincial Education Department(Grant No.Y201017148);K.C.Wong Magna Fund in Ningbo University
It is difficult to obtain exact solutions of the nonlinear partial differential equations (PDEs) due to their complexity and nonlinearity, especially for non-integrable systems. In this paper, some reasonable approx...
关键词:approximate solution invariant expansion Mobious transformation invariance 
通过截断不变展开求奇异扰动Boussinesq方程的近似解(英文)
《宁波大学学报(理工版)》2012年第4期127-132,共6页吴江龙 
Supported by the National Natural Science Foundation of China(11175092);Student Research Innovation Program(SRIP)of Ningbo University
由于非线性偏微分方程的复杂性和非线性性,很难求出它们的准确解,因此某些合理近似以及通过截断不变展开求解实非线性系统是被考虑和建议的.文中一个简单截断不变展开及其一个普遍的赝势被用于奇异扰动Boussinesq方程,可以得到该方程的...
关键词:近似解 截断不变展开 BOUSSINESQ方程 
Fermionization of Sharma-Tasso-Olver System被引量:1
《Chinese Annals of Mathematics,Series B》2012年第2期271-280,共10页Biwei YAO Senyue LOU 
Project supported by the National Natural Science Foundation of China (Nos.10735030,11175092);the National Basic Research Program of China (Nos.2007CB814800,2005CB422301);K.C.Wong Magna Fund in Ningbo University
By applying the fermionization approach, the inverse version of the bosoniza- tion approach, to the Sharma-Tasso-Olver (STO) equation, three simple supersymmetric extensions of the STO equation are obtained from the...
关键词:STO equation Supersymmetric integrable systems Fermionization approach 
检索报告 对象比较 聚类工具 使用帮助 返回顶部