摘要
基于sinh-Gordon方程的椭圆函数解,构造新的试探解来扩展sinh-Gordon方程展开法.利用该方法研究了KdV-mKdV方程,双sine-Gordon方程和BBM方程,获得了这些方程的新Jacobi椭圆函数解.该方法也能用来求解其他数学物理中的非线性演化方程.
The sinh-Gordon equation expansion method is further extended based on the sinh-Gordon equation and constructing new ansatz solution of the considered equation.we apply this method to the KdV-mKdV equation,the double sine-Gordon equation and the BBM equation,and some new Jacobian elliptic function solutions of them are derived,The method can be applied to other nonlinear evolution equations in mathematical physics.
出处
《动力学与控制学报》
2011年第2期147-151,共5页
Journal of Dynamics and Control
基金
湖南省科学技术厅科技计划资助项目(2009FJ3077)
高等学校博士学科点专项科研基金资助课题(20100161110024)~~
