非线性扰动广义NNV微分系统的孤子研究  

Study for the Soliton of Nonlinear Disturbed Generalized NNV Differential System

作　　者：欧阳成[1] 陈贤峰[2] 莫嘉琪[3] 

机构地区：[1]湖州师范学院理学院,湖州313000 [2]上海交通大学数学系,上海200240 [3]安徽师范大学数学系,芜湖241003

出　　处：《应用数学学报》2017年第3期409-421,共13页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11202106);浙江省自然科学基金(LY13A010005)资助项目

摘　　要：采用了一个简单而有效的技巧,研究了一类非线性扰动广义NNV微分系统.首先引入一个行波变换,将NNV系统转化为一组非线性常微分方程系统.其次用双曲函数待定系数法得到一个相应的典型系统的孤子解·然后构造一个广义泛函迭代同伦映射,由此构造一个特殊的渐近解的迭代关系式.并依次地求出原非线性扰动广义NNV微分系统的孤子渐近行波解.最后通过举例,说明了使用本方法得到的近似解简单而有效.A class of nonlinear disturbed generalized NNV differential system was consid- ered. Firstly, leading a travelling wave transformation, we take the NNV system change a set of nonlinear system of ordinary differential equations. Next, a solitary solution of correspond typical system is obtained using the method of the undetermined coefficients hyperbolic function. Then a generalized functional mapping iteration was constructed. And the solitary asymptotic travelling wave solution of the NNV differential system were solved successively. Finally, from the example for this method, obtained approximate solution possess simple and valid strong point.

关 键 词：孤子 微分系统 扰动 

分 类 号：O175.29[理学—数学]