On a New Three-Component Camassa Holm Equation with Peakons 被引量：2

On a New Three-Component Camassa Holm Equation with Peakons

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摘要 A new three-component Camassa-Holm equation is introduced. This system is endowed with a structuresimilar to the Camassa-Holm equation. It has peakon solitons and conserves H^1-norm conservation law.

作者屈长征付英

机构地区 Center for Nonlinear Studies Department of Mathematics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第2期223-230,共8页 理论物理通讯（英文版）

基金 Supported by National Natural Science Foundation of China under Grant Nos. 10671156 and 10671153

关键词 multi-component Camassa-Holm equation peakon solitons H^1-norm conservation law 三组分孤立尖波方程守恒定律类似范数

分类号 O175 [理学—基础数学]

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参考文献21

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同被引文献2

1罗琳,夏宝强,曹玉峰.Peakon Solutions to Supersymmetric Camassa-Holm Equation and Degasperis-Procesi Equation[J].Communications in Theoretical Physics,2013,59(1):73-79. 被引量：1
2Mathew Baxter,Robert A.Van Gorder,Kuppalapalle Vajravelu.Several Types of Similarity Solutions for the Hunter-Saxton Equation[J].Communications in Theoretical Physics,2015,63(6):675-681. 被引量：2

引证文献2

1赵红霞,扎其劳.一个新的n分量Camassa-Holm方程的多重尖峰孤子解[J].数学的实践与认识,2018,48(20):212-221.
2李颖颖,闫璐.具有尖峰孤子解的三分量μ-Camassa-Holm方程组[J].纯粹数学与应用数学,2020,36(2):168-183. 被引量：1

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1高亚琴,王海权,滕凯民.一个n分支 μ-Camassa-Holm系统解的局部适定性和爆破现象研究[J].应用数学进展,2024,13(8):3903-3916.

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2WU Shuyin,YANG Hongxiu.The Blow-Up Phenomena for the Camassa-Holm Equation with a Zero Order Dissipation[J].Journal of Partial Differential Equations,2012,25(3):208-219. 被引量：1
3ZHANG Xiao-Fei,XIE Chong-Wei,WANG Shi-En.Soliton Solutions in Three-Component Bose-Einstein Condensates[J].Communications in Theoretical Physics,2007,47(6):1063-1066.
4罗琳,夏宝强,曹玉峰.Peakon Solutions to Supersymmetric Camassa-Holm Equation and Degasperis-Procesi Equation[J].Communications in Theoretical Physics,2013,59(1):73-79. 被引量：1
5张克磊,唐生强.一类可积非线性KP(n,n)方程的精确行波解[J].云南大学学报（自然科学版）,2008,30(S2):149-156.
6LIU Yongqin,WANG Weike.On the Blow-up Phenomena of Cauchy Problem for the Camassa-Holm Equation[J].Wuhan University Journal of Natural Sciences,2006,11(3):451-455.
7黄晔辉,姚玉芹,曾云波.On Camassa-Holm Equation with Self-Consistent Sources and Its Solutions[J].Communications in Theoretical Physics,2010(3):403-412.
8傅仰耿,刘正荣,唐昊.NON-UNIFORM DEPENDENCE ON INITIAL DATA FOR THE MODIFIED CAMASSA-HOLM EQUATION ON THE LINE[J].Acta Mathematica Scientia,2014,34(6):1781-1794. 被引量：3
9WU Shuyin.Global Weak Solutions for the Weakly Dissipative Camassa-Holm Equation[J].Journal of Partial Differential Equations,2011,24(2):165-179.
10张正娣,毕勤胜.Singular Wave Solutions of Two Integrable Generalized KdV Equations[J].Chinese Physics Letters,2010,27(10):146-149. 被引量：1

Communications in Theoretical Physics

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On a New Three-Component Camassa Holm Equation with Peakons 被引量：2

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