Boussinesq方程新的Jacobi椭圆函数周期解

New Period Solution to Jacobi Elliptic Function for Boussinesq Equation

将Jacobi椭圆函数展开法进一步扩展为4个函数的形式,且利用这一方法求出了Boussinesq方程的一系列新的精确周期解,在极限情况下可得到相应的孤立波解和单周期波解,丰富和简化了前人研究的结果.

Jacobi Elliptic functions were extended to four functions, which gave rise to a series of new exact period solutions to Boussinesq equation. In the limit case, the corresponding solitary wave solutions and the single triangle function solutions were derived, thereby replenishing and simplifying the previous research findings.