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一个变系数非线性演化方程的精确解
Exact Solutions to A Nonlinear Equation with Variable Coefficients
【摘要】 直接利用扩展F-展开法求出了一个变系数非线性演化方程的更多个以Jacobi椭圆函数表示的精确解.当模数m→1及m→0时,可得到类孤立波解和三角函数表示的精确解.
【Abstract】 By using the extended F-expansion method recently proposed,a number of periodic wave solutions to the nonlinear equation with variable are obtained,which are expressed by Jacobi elliptic functions.When the module approaches 1 or 0,the hyperbolic function solution(including the solitary wave solutions) and triangle function solutions are obtained.
【关键词】 扩展F-展开法;
Jacobi椭圆函数;
变系数非线性方程;
精确解;
【Key words】 extended F-expansion method; Jacobi elliptic function; nonlinear equation with variable; exact solution;
【Key words】 extended F-expansion method; Jacobi elliptic function; nonlinear equation with variable; exact solution;
【基金】 河南省教委自然科学基础研究项目(2003110003)
- 【文献出处】 许昌学院学报 ,Journal of Xuchang University , 编辑部邮箱 ,2007年05期
- 【分类号】O175.2
- 【被引频次】2
- 【下载频次】38