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具有尖峰孤子解的三分量μ-Camassa-Holm方程组 被引量:1

The three-componentμ-Camassa-Holm system with peaked solutions
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摘要 引入了一类新的三分量μ-Camassa-Holm方程组,它被认为是μ-Camassa-Holm方程的三分量推广.该方程组具有类似于μ-Camassa-Holm方程的结构,并且具有尖峰孤立波解,不变动量和H^1守恒律. A new three-componentμ-Camassa-Holm system is introduced in this paper,which is regarded as the three-component extension of theμ-Camassa-Holm equation.This system is endowed with a structure similar to that for theμ-Camassa-Holm equation,and it has peaked solitary wave solutions,the invariant momentum and H1-norm conservation law.
作者 李颖颖 闫璐 Li Yingying;Yan Lu(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China;Xingzhi College of Xi'an University of Finance and Economics,Xi'an 710038,China)
出处 《纯粹数学与应用数学》 2020年第2期168-183,共16页 Pure and Applied Mathematics
基金 国家自然科学基金(11971251) 陕西省教育厅专项科研计划项目(18JK0987).
关键词 三分量μ-Camassa-Holm方程组 μ-Camassa-Holm方程 尖峰孤子解 H1守恒律 three-componentμ-Camassa-Holm system μ-Camassa-Holm equation peakon solitons H1-norm conservation law
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