变系数KdV模型的孤子及其应用  

Solition of Variable-coeffcient KdV Model and its Application in Fluid Mechanics

作　　者：孙福伟[1] 陈贺灵[1] 

机构地区：[1]北方工业大学理学院,北京100144

出　　处：《北方工业大学学报》2010年第1期63-67,共5页Journal of North China University of Technology

摘　　要：研究了受外力影响的变系数Korteweg-de Vries(KdV)模型.利用推广的Tanh函数法,通过计算机符号计算得到了其解析的孤子解,并绘制了各种情况下的孤子图像.通过对各种图像的分析,讨论了不同类型的孤子解的性质,并进一步探讨了该模型在流体力学中的应用.In this paper, the variable-coefficient model （KdV） under external force is studied. By the extended generalized hyperbolic-function method, and with the help of computerized symbolic computation, the analytical solition solution is obtained. Different solution images are mapped out. These images are analyzed and the nature of different types of solition solutions are discussed. Finally, the application of the model to fluid mechanics is studied.

关 键 词：推广的 TANH函数法 解析孤子解 变系数 流体力学 

分 类 号：O175.29[理学—数学]