期刊文献+

带阻尼项的坏的Bq方程的精确解

Exact Solutions for Bad Boussinesq Equation with Damping Term
在线阅读 下载PDF
导出
摘要 研究求解非线性演化方程的tanh与扩展tanh函数法。使用符号计算软件maple和tanh函数法获得带阻尼项的坏的Bq方程的大量双曲函数精确解,使用符号计算软件maple和扩张tanh函数法获得带阻尼项的坏的Bq方程的大量行波精确解。 The standard tanh method and the extended tanh method were studied to solve nonlinear evolution equation. The standard tanh method and symbolic computation system Maple were applied to obtain abundant exact hyperbolic function solutions of bad Boussinesq equation with damping term, and the extended tanh method and symbolic computation system Maple were used to obtain abundant exact traveling wave solutions of bad Boussinesq equation with damping term.
作者 范凯 靳琴琴
出处 《太原科技大学学报》 2016年第3期234-238,共5页 Journal of Taiyuan University of Science and Technology
关键词 TANH函数法 扩展tanh函数法 带阻尼项的坏的Bq方程 tanh method, the extended tanh method, bad Boussinesq equation with damping term
  • 相关文献

参考文献3

二级参考文献27

  • 1Boussinesq J. Theorie des ondes et des remou qui se propagent le long d'un canal rectangulaire horizontal, en comuniquant au liquide contenu dans ce canal des vitesses sunsiblement pareilles de la surface au fond. J Math Pures Appl, 1872, 17(2): 55-108
  • 2Berryman J. Stability of solitary waves in shallow water. Phys Fluids, 1976, 19:771-777
  • 3Bona J L, Smith R A. A model for the two-way propagation of water waves in a channel. Math Proc Cambridge Philos Soc, 1976, 79:167-182
  • 4Linares F. Global existence of small solutions for a generalized Boussinesq equation. J Differential Equations, 1993, 106:257-293
  • 5Makhankov V G. Dynamics of classical solitons. Phys Rev Lett, 1978, 35(C): 1-128
  • 6Bona J L, Sachs R L. Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation. Commun Math Phys, 1988, 118:15-19
  • 7Defrutos J, Ortega F, Sanz-Serna J M. Pseudospectral method for the "good" Boussinesq equation. Math Comp, 1991, 57:109-122
  • 8Chen Guowang, Yang Zhijian. Existence and non-existence of global solutions for a class of non-linear wave equation. Math Meth Appl Sci, 2000, 23:615-631
  • 9Pani A K, Sarange H. Finite element Galerkin method for the "good" Boussinesq equation. Nonlinear Anal TMA, 1997, 29:937-956
  • 10Sachs R L. On the blow-up of certain solutions of the "good" Boussinesq equation. Appl Anal, 1990, 36:145-152

共引文献24

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