期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类耦合方程的单孤子解 被引量：1

Single peakons for a combined equation
在线阅读 下载PDF
导出
摘要 利用检验函数定义弱解的方法来求解含有任意常数k1,k2的目标方程的单孤子解.给出了目标方程的单孤子解与任意常数k1,k2的关系. Using the way to define the weak solution by test functions, we obtain the peakon soliton of a system with cubic nonlinearity, which has arbitrary constants k1, k2. Finally we get the relationship between the peakon soliton and k1, k2.
作者 李壹宏
机构地区 西北大学数学系
出处 《纯粹数学与应用数学》 CSCD 2013年第3期287-292,共6页 Pure and Applied Mathematics
关键词 修正的Camassa-Holm方程 Novikov方程 单孤子解 modified Camassa-Holm equation, Novikov eqaution, peakon soliton
分类号 O175.29 [理学—基础数学]
  • 相关文献

参考文献7

  • 1Camassa R, Holm D D. A integrable shallow water equation with peaked soliton[J]. Phys. Rev. Lett., 1993,71 (11):1661-1664.
  • 2Novikov V. Generalizations of the Camassa-Holm equation[J]. Phys. A, 2009,42(34):14-24.
  • 3Hone A, Wang J P. Integrable peakon equations with cubic nonlinearity[J]. Phys. A, 2008,41:110-120.
  • 4Hone A N, Lundmark H, Szmigielski J. Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation[J]. Dyn. Partial Differ. Equ., 2009,6:253-289.
  • 5Fuchssteiner B. Some tricks from the symmetry-toolbox for nonlinear equations:generalizations of the Camassa-Holm equationIJ]. Pysica D, 1996,95:229-243.
  • 6Olver P G, Rosennau P. Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support[J]. Phys. Rev. E, 1996,53:1900-1906.
  • 7Gui Guilong, Liu Y, Olver P J, et al. Wave-breaking and peakons for a modified Camassa-Holm equation[J]. Commun. Math. Phys., 2013,319:731-759.

同被引文献20

  • 1Fuchssteiner B,Fokas A.Sympletic structures,their backlund transformations and hereditary symmetries[J].Phys D,1981,4(1):47-66.
  • 2Camassa R,Holm D D.An integrable shallow water wave equation with peaked solutions[J].Phys Rev Lett,1993,71(11):1661-1664.
  • 3Himonas A A,Misiolek G.The Cauchy problem for an integrable shallow-water equation[J].Differential and Integral Equations,2001,14(7):821-831.
  • 4Rodríguez-Blanco G.On the Cauchy problem for the Camassa-Holm equation[J].Nonlinear Anal,2001,46(3):309-327.
  • 5Jiang Zaihong,Ni Lidao,Zhou Yong.Wave breaking of the Camassa-Holm equation[J].Journal of Nonlinear Science,2012,22(2):235-245.
  • 6Mc Kean H P.Breakdown of a shallow water equation[J].The Asian Journal of Mathematics,1998,2(4):867-868.
  • 7Xin Zhongping,Zhang Ping.On the weak solutions to a shallow water equation[J].Communications on Pure and Applied Mathematics,2000,53(11):1411-1433.
  • 8Himonas A A,Misiolek G,Ponce G,et al.Persistence properties and unique continuation of solutions of the Camassa-Holm equation[J].Communications in Mathematical Physics,2007,271(2):511-522.
  • 9Constantin A,Strauss W A.Stability of peakons[J].Communications on Pure and Applied Mathematics,2000,53(5):603-610.
  • 10Ni Lidao,Zhou Yong.A new asymptotic behavior of solutions to the Camassa-Holm equation[J].Proc Amer Math Soc,2012,140(2):607-614.

引证文献1

二级引证文献1

纯粹数学与应用数学
2013年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部