Jacobi椭圆函数展开法的应用  

Applications of Jacobi Elliptic Function Expansion Method to Some Special Nonlinear Equations

作　　者：沈水金[1] Shen Shuijin （ Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000）

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《绍兴文理学院学报（自然科学版）》2006年第4期13-16,共4页Journal of Shaoxing College of Arts and Sciences

摘　　要：通过对Jacobi椭圆函数展开法适用条件——秩的分析，求解了Joseph—Egri方程的精确周期解，并且对椭圆函数展开法进行适当的扩充以求解变系数KdV方程的精确周期解．此方法同样适用于其它具有变系数的非线性演化方程（NLEEs）．By analyzing the application conditions of Jacobi elliptic function solutions to the Joseph - Egri Equation. By extending the method of Jacohi the exact periodic solutions to the KdV Equation with variable coefficients expansion method, I got the exact periodic elliptic function expansion, I also obtained . The method can also be applied to other nonlinear evolution equations （NLEEs） with variable coefficients.

关 键 词：非线性演化方程 JACOBI椭圆函数 秩 精确周期解 孤波解 

分 类 号：O29[理学—应用数学;理学—数学] O340[理学—固体力学;理学—力学]