期刊文献+

微扰Burgers-KdV方程的孤子解 被引量:5

SOLITON SOLUTIONS OF PERIURBED BURGERS-KdV EQUATION
原文传递
导出
摘要 对于一个其耗散项可看作微扰的Burgers-KdV(B-KdV)方程 u_t+uu_x+βu_(xxx)=εu_(xx),|ε|<<1,考虑一级近似和行波情形,建立一套求通解的直接扰动方法,利用零级方程的单孤子解,获得一级方程的孤子型通解,它包含任意多个不同的孤子解,每个孤子解分别描述一个位于半无限空间的孤子阵列,分析表明,耗散使得“亮孤子”变矮变窄,“暗孤子”变浅变窄. In this paper , we have studied a perturbed Burgers-Korteweg-de Vries equation , Under first order approximation and travelling wave case, the direct perturba-tion method to find the general solution is established. By means of the single soliton solution of the zeroth order equation we have obtained the general soliton solution of the first order equation. It con-tains many diferent soliton solutions and any one of them describes an array of solitons in semi-infinite space. The analyses show that the dissipation e makes the bright soliton the lower and narrower and the dark soliton the shallower and narrower than unperturbed KdV soliton.
作者 海文华 肖奕
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 1996年第4期587-594,共8页 Acta Physica Sinica
基金 国家自然科学基金 湖南省自然科学基金资助的课题
  • 引文网络
  • 相关文献

参考文献14

同被引文献9

引证文献5

相关主题

;
使用帮助 返回顶部