New interaction solutions of multiply periodic, quasi-periodic and non-periodic waves for the (n + 1)-dimensional double sine-Gordon equations
New interaction solutions of multiply periodic, quasi-periodic and non-periodic waves for the (n + 1)-dimensional double sine-Gordon equations
复制标题
DOI：
10.1016/j.chaos.2005.10.066
复制
发表时间：
2007-03
影响因子：
7.8
通讯作者：
H. C. Hu;S. Lou;K. Chow
中科院分区：
文献类型：
--
作者：
H. C. Hu;S. Lou;K. Chow
利用三次非线性Klein-Gordon(CNKG)场的辅助解，研究了(n+1)维双Sine-Gordon方程新的内含任意函数的精确解。通过适当选择任意函数和CNKG系统的适当解，得到了包括周期孤立子、周期扭结、准周期波和非周期波在内的新解。
New exact solutions with built-in arbitrary functions for the (n+1)-dimensional double sine-Gordon equation are studied by means of auxiliary solutions of the cubic nonlinear Klein–Gordon (CNKG) fields. By a proper selection of the arbitrary functions and the appropriate solutions of the CNKG systems, new solutions including periodic-solitoffs, periodic-twisted kinks, quasi-periodic and non-periodic waves are obtained.