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推广的BBM方程行波解
  • ISSN号：1000-274X
  • 期刊名称：《西北大学学报：自然科学版》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]西北工业大学理学院, [2]西北工业大学网络与教育技术中心,陕西西安710072
  • 相关基金：国家自然科学基金资助项目（10332030）
作者： 唐亚守[1], 徐伟[1,2], 李伟[1]
关键词： 推广的BBM方程, 孤立波解, 扭子波解, 周期波解, 分支理论, generalized BBM equation, solitary wave solutions, kink wave solutions, periodic wave solutions, bifurcation theory
中文摘要：

目的研究了推广的BBM方程的动力学行为和行波解。方法用动力系统的分支理论给出了行波系统在参数空间的所有可能相轨图。结果结果得到了方程的行波解存在的条件和一些特殊条件下的显式解。结论显然本文的方法在分析非线性波方程中有很好的效果，因此也可应用到其他非线性波方程中。

英文摘要：

Aim To study dynamical behavior and travelling solutions of generalized BBM equation. Methods All possible phase portraits in the parametric space for the traveling wave system are obtained using the bifurcation theory of dynamical system. Results The existence conditions of traveling wave solutions and some special exact solutions are given. Conclusion This method is suitable to other nonlinear wave equation.

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期刊信息
  • 《西北大学学报：自然科学网络版》
  • 主管单位:
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  • 主编：姚运
  • 地址：西安市太白北路299号
  • 邮编：710069
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  • 电话：029-88303833
  • 国际标准刊号：ISSN：1000-274X
  • 国内统一刊号：ISSN：61-1072/N
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  • 被引量:16