期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

(2+1)维耗散长水波方程组的精确解和守恒律

  • 聊城大学 数学科学学院, 山东 聊城 252059
  • DOI: 10.13763/j.cnki.jhebnu.nse.2018.02.001

Exact Solutions and Conservation Laws of (2+1)-dimensional Dissipative Long Wave Equations

摘要/Abstract

摘要:

利用李群方法得到了(2+1)维耗散长水波方程组的对称,获得了相应的约化方程,并求出其精确解.所得结果推广了已有文献中该方程的相关结果.利用得到的对称求出了(2+1)维耗散长水波方程组的守恒律.

Abstract:

Using the Lie group method,the symmetries of (2+1)-dimensional dissipative long wave equations are obtained,and the corresponding reduction equations are also obtained.The exact solutions are acquired.These results generalize the relevant results in the literature. By using the symmetry,the conservation laws of the (2+1)-dimensional dissipative long wave equations are obtained.

参考文献 16

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