期刊文献+

一种改进的辅助函数法及其对近似长水波方程的求解

An Improved Auxiliary Function Method and Its Applications for the Approximate Long Water Wave Equations
下载PDF
导出
摘要 提出一种求解非线性演化方程的改进的辅助函数法,根据不同的参数可给出不同形式的精确解,从而有助于探索非线性方程的新解.用此方法求解了近似长水波方程,得到了其多组精确解. In this paper, we present a new improved auxiliary method and use it to investigate the approximate long water wave equations; as a result, more explicit solutions according to some parameters are obtained, some of which are new.
作者 邱春
出处 《四川文理学院学报》 2016年第5期13-16,共4页 Sichuan University of Arts and Science Journal
基金 德阳市重点科学技术研究项目(2014ZZ095-3)
关键词 改进的辅助函数法 辅助方程 近似长水波方程 improved auxiliary function method auxiliary equation the approximate long water wave equations
  • 相关文献

参考文献7

  • 1Fan E G, Zhang H Q.New exact solutions to a system of coupled Kdv equations[J]. Phys Lett A, 1998(5) .389 - 392.
  • 2Liu S K, Fu Z T, Liu S D, Zhang Q et al.Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations [J]. Phys Lett A, 2001(1) : 69- 74.
  • 3Yah C T.A simple transformation for nonlinear zoaves[J]. Phys Lett A, 1996(1) : 77-84.
  • 4Fan E G.Extend tanh--function method and its applications to nonlinear equations [J]. Phys Lett A, 2000 (4-5) : 212-218.
  • 5Fan E G.A new algebraic method for finding the line soliton solutions and doubly periodic zoave solution to a tzoo- dimensional perturbed Kdv equation[J]. Chaos Solitons Fractals, 2003(3) : 567-574.
  • 6刘式适,刘适达.物理学中的非线性方程[M].北京:北京大学出版社,2001.
  • 7Wang M L, Zhang J L, Li X Z.Application of the G/G--expansion to travelling wave solutions of the Broer - Kaup and the approximate long water wave equations[J]. Applied Mathematic and Computation, 2008(1) .321-326.

共引文献23

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