变系数KdV方程的多种孤波解  

Varied Solitary Wave Solutions of KdV Equation with Variable Coefficients

作　　者：沈水金[1] 

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》2012年第8期12-16,共5页Journal of Shaoxing University

摘　　要：对F-展开法作了适当的扩充:让F函数的幂扩充为从-N次到N次的形式,同时让F满足不同形式的方程,得到不同形式的F函数,从而得到更多形式的精确解,并利用扩充了的F展开法给出了变系数KdV方程的更多形式的精确解.The paper improves the generalized F - expansion method, expands the power frequency of function F from - N to N , and proposes some new F function of different equations. The paper subsequently applies this method to the KdV equation with variable coefficients so that many new exact solutions for these equations are obtained

关 键 词：非线性 KDV 精确解 F-展开法 

分 类 号：O175.2[理学—数学]