A Hierarchy of Integrable Multi-Component Equations and Bi-Hamiltonian Structures

来源 :International Conference Nonlinear Waves-Theory and Applicat | 被引量 : 0次 | 上传用户：zhoujans

【摘要】

：

　　A new isospectral problems which has two potentials are introduced.Its associated multi-component equations and expanding multi-component models are derived

【作者】

：

LixinTian;LuSun;

【机构】

：

Nonlinear Scientific Research Center,Faculty of Science,Jiangsu University,Zhenjiang,Jiangsu,212013,

【出处】

：

International Conference Nonlinear Waves-Theory and Applicat

【发表日期】

：

2008年期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　A new isospectral problems which has two potentials are introduced.Its associated multi-component equations and expanding multi-component models are derived.BiHamiltonian structures are obtained through the trace identity.Finite-dimensional Hamil tonian systems are given by using the nonlinearization method.It is shown that the equa tions axe completely integrable in the Liouville sense.Further, solutions of equations are possessed.

其他文献

Numerical Solution of the Nonlinear Helmholtz Equation

　　The nonlinear Helmholtz equation (NLH) models the propagation of intense laser light in Kerr dielectrics such as water, silica or air.The key physical pheno

会议

Darboux transformations for some two dimensional affine Toda equations

　　The Lax pairs for the two dimensional A(2)2l, C(1)l and D(2)l+1 Toda equations have a reality symmetry, a cyclic symmetry and a unitary symmetry.The Darboux

会议

Nonlinear PML

　　In this paper we present a new set of nonlinear PML equations for the multi-dimensional Maxwells equations and show that they are strongly well posed and te

会议

Lump solutions in a 2+1-dim.NLS equation

　　We use the inverse scattering method to derive classes of solutions of the system my + |u|2 =0, iut + uxx + 2umx =0 (1)that satisfy the boundary conditions

会议

袁立喊冤：邓婕没有掌掴我

“邓婕掌掴袁立”的谣言有些弱智,姑且不论我个人的感受,这个谣言也完全侮辱了邓婕的为人。——袁立继上次签约橙天的发布会后,这是我第一次公开面对媒体。最近,我突然看到“

期刊

邓婕袁立立掌娱乐圈系列新闻姑且不论张国立继纪晓岚开机仪式

两个法国老共产主义者的“中国故事”

他们见证了中国几十年的变化和发展，他们对中国的感情多少年来始终不渝。中国是他们的第二故乡，正如他们的女儿所言，他们“就像是法国的中国人”　　　　年近八旬的让·马丁早已退休，跟夫人克洛德·马丁一起生活在巴黎11区一处简朴的公寓里。客厅里靠墙而立的三个书架上满满当当全是书。景德镇的陶瓷茶杯，景泰蓝的烟灰缸和台灯，还有书架上的汉白玉、红木小摆件，是他们收藏的“奢侈品”。　　上世纪60年代，马丁夫妇曾与中

期刊

中国故事克洛德外国专家新闻机构十年法国共产党西班牙内战现代民主制度中苏论战中国货

Doubly periodic, simply periodic and rational solitary waves of partially integrable nonlinear PDEs

　　The solitary waves of autonomous nonlinear partial differential equations (PDE) present a high interest in physics.When the PDE is integrable, there exist p

会议

Reflection and reconnection interactions of resonant dromions

　　The interactions between dromions have still not yet been understood very well.In this talk, we will report two new types of dromion interactions, dromion r

会议

On quasi-triviality and integrability of a class of evolutionary PDEs

　　For certain class of perturbations of the hyperbolic equation ut =f(u)ux, we prove the existence of change of coordinates, called quasi-Miura transformation

会议

Integrable generalizations of Volterra system

　　In this talk, we present a new general construction of integrable Hamiltonian systems that generalize the well-known Volterra system [1,2]:(a)i =ai(ai+1-ai-

会议

Hamiltonian systemsVolterranew generalinteractionbetweentheonlyand

A Hierarchy of Integrable Multi-Component Equations and Bi-Hamiltonian Structures

其他学术论文