| 利用修正影射法求组合KdV方程新的精确解 |
| |
| 引用本文： | 吕岿.利用修正影射法求组合KdV方程新的精确解[J].上饶师范学院学报,2011,31(3):42-45. |
| |
| 作者姓名： | 吕岿 |
| |
| 作者单位： | 上饶师范学院,江西上饶,334001 |
| |
| 摘 要： | 构造了非线性波动方程新形式的Jacobi椭圆函数展开解,据此应用修正影射法求解组合KdV方程,得到新的精确解,包括Jacobi椭圆函数解、孤子解和三角函数解。该方法可以应用到其他非线性方程或方程组的求解。
|
| 关 键 词： | 组合KdV方程 修正影射法 Jacobi椭圆函数 行波解 |
New Exact Solutions to the Coupled KdV Equation Using the Modified Mapping Methocl |
| |
| LV Kui.New Exact Solutions to the Coupled KdV Equation Using the Modified Mapping Methocl[J].Journal of Shangrao Normal College,2011,31(3):42-45. |
| |
| Authors: | LV Kui |
| |
| Institution: | LV Kui(Shangrao Normal University,Shangrao Jiangxi 334001,China) |
| |
| Abstract: | A new method for constructing Jacobi elliptic function solutions to nonlinear wave equations is proposed,and by using the modified mapping method,the new exact solutions to the!coupled KdV equation is found,which including Jacobian elliptic function solutions,soliton-like solutions and triangular function solutions.This process can be applied to solve others nonlinear equation or equations. |
| |
| Keywords: | Coupled KdV equation modified mapping method Jacobian elliptic functions traveling wave solutions |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
