PEAKON

作品数:25被引量:32H指数:3
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相关领域:理学更多>>
相关作者:薛波范兴华蔡文君宋军锋更多>>
相关机构:桂林电子科技大学郑州大学浙江师范大学东南大学更多>>
相关期刊:《Communications in Theoretical Physics》《Chinese Physics B》《数学杂志》《中国科学:数学》更多>>
相关基金:国家自然科学基金浙江省自然科学基金中国博士后科学基金全球变化研究国家重大科学研究计划更多>>
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WELL-POSEDNESS AND PEAKON SOLUTIONS FOR A HIGHER ORDER CAMASSA-HOLM TYPE EQUATION
《数学杂志》2025年第1期57-71,共15页CHEN shuang 
In this paper,we delve into a generalized higher order Camassa-Holm type equation,(or,an ghmCH equation for short).We establish local well-posedness for this equation under the condition that the initial data uo belon...
关键词:Generalized higher order Camassa-Holm type equation Local well-posedness PEAKON 
Higher-dimensional Chen-Lee-Liu equation and asymmetric peakon soliton
《Chinese Physics B》2024年第4期224-229,共6页韩巧红 贾曼 
Project supported by the National Natural Science Foundation of China (Grant Nos.12275144,12235007,and 11975131);K.C.Wong Magna Fund in Ningbo University。
Integrable systems play a crucial role in physics and mathematics.In particular,the traditional(1+1)-dimensional and(2+1)-dimensional integrable systems have received significant attention due to the rarity of integra...
关键词:higher dimensional Chen-Lee-Liu equation Lax integrable system deformation algorithm implicit traveling wave solutions 
An Integrable Matrix Camassa-Holm Equation
《Communications in Theoretical Physics》2019年第12期1399-1404,共6页Li-Feng Chan Bao-Qiang Xia Ru-Guang Zhou 
Supported by National Natural Science Foundation of China under Grant Nos.11771186 and 11671177
We present an integrable sl(2)-matrix Camassa-Holm(CH)equation.The integrability means that the equation possesses zero-curvature representation and infinitely many conservation laws.This equation includes two undeter...
关键词:Camassa-Holm equation zero-curvature representation conservation laws N-Peakon 
Orbital Stability of Peakons for a Generalized Camassa-Holm Equation
《Journal of Applied Mathematics and Physics》2019年第10期2200-2211,共12页Xinhui Lu Aiyong Chen Tongjie Deng 
We investigate the orbital stability of the peakons for a generalized Camassa-Holm equation (gCH). Using variable transformation, a planar dynamical system is obtained from the gCH equation. It is shown that the plana...
关键词:CAMASSA-HOLM EQUATION PEAKON HETEROCLINIC ORBIT ORBITAL Stability 
Alice-Bob Peakon Systems被引量:1
《Chinese Physics Letters》2017年第10期1-4,共4页Sen-Yue Lou Zhi-Jun Qiao 
Supported by the Global Change Research Program of China under Grant No 2015CB953904;the National Natural Science Foundation of China under Grant No 11435005;the Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No ZF1213;the K.C.Wong Magna Fund at Ningbo University;the UTRGV President's Endowed Professorship;the Seed Grant of the UTRGV College of Science
We study the Alice-Bob peakon system generated from an integrable peakon system using the strategy of the so- called Alice-Bob non-local KdV approach [Scientific Reports 7 (2017) 869]. Nonlocal integrable peakon equ...
关键词:ABP Alice-Bob Peakon Systems 
Double-Peakon Solutions of Two Four-Component Camassa-Holm Type Equations
《Journal of Applied Mathematics and Physics》2016年第7期1305-1310,共6页Yuanli Li Qilao Zha 
This paper is contributed to study two new integrable four-component systems reduced from a multi-component generation of Camassa-Holm equation. Some double peakon solutions of both systems are described in an explici...
关键词:Peakon Solution Dynamic Behavior Four-Component CH Type Equation 
Multi–Peakon Solutions for Two New Coupled Camassa–Holm Equations
《Communications in Theoretical Physics》2016年第6期677-683,共7页李园丽 扎其劳 
Supported by the National Natural Science Foundation of China under Grant No.11261037;the Natural Science Foundation of Inner Mongolia Autonomous Region under Grant No.2014MS0111;the Caoyuan Yingcai Program of Inner Mongolia Autonomous Region under Grant No.CYYC2011050;the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region under Grant No.NJYT14A04
We study the multi-peakon solutions for two new coupled Camassa–Holm equations, which include twocomponent and three-component Camassa–Holm equations. These multi-peakon solutions are shown in weak sense. In particu...
关键词:peakon solution dynamic behavior multi-component Camassa–Holm equation 
EXACT SOLUTIONS OF(2+1)-DIMENSIONAL NONLINEAR SCHRoDINGER EQUATION BASED ON MODIFIED EXTENDED TANH METHOD被引量:1
《Annals of Applied Mathematics》2016年第1期102-110,共9页Shuhua Zheng Heng Wang 
In this paper, the modified extended tanh method is used to construct more general exact solutions of a (2+1)-dimensional nonlinear SchrSdinger equation. With the aid of Maple and Matlab software, we obtain exact e...
关键词:nonlinear Schr?dinger equation modified extended tanh method kink wave solution peakon wave solution periodic wave solution 
GeometricNumerical Integration for Peakon b-Family Equations被引量:1
《Communications in Computational Physics》2016年第1期24-52,共29页Wenjun Cai Yajuan Sun Yushun Wang 
This research was supported by the National Natural Science Foundation of China 11271357,11271195 and 41504078;by the CSC,the Foundation for Innovative Research Groups of the NNSFC 11321061 and the ITER-China Program 2014GB124005。
In this paper,we study the Camassa-Holm equation and the Degasperis-Procesi equation.The two equations are in the family of integrable peakon equations,and both have very rich geometric properties.Based on these geome...
关键词:Symplectic integrator splitting method WENO scheme multisymplectic integrator PEAKON shockpeakon 
Single Peak Soliton and Periodic Cusp Wave of the Generalized Schrodinger-Boussinesq Equations
《Communications in Theoretical Physics》2015年第6期731-742,共12页乔丽静 唐生强 赵海霞 
Supported by National Natural Science Foundation of China under Grant Nos.11361017,11161013;Natural Science Foundation of Guangxi under Grant Nos.2012GXNSFAA053003,2013GXNSFAA019010;Program for Innovative Research Team of Guilin University of Electronic Technology
In this paper, we study peakon, cuspon, smooth soliton and periodic cusp wave of the generalized Schr6dinger-Boussinesq equations. Based on the method of dynamical systems, the generalized Schr6dinger-Boussinesq equat...
关键词:method of dynamical systems PEAKON cuspon periodic cusp wave generalized Schrodinger-Boussinesq equations 
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