时变系数下耦合KdV和Burgers方程组的孤波解  

SOLITARY WAVE SOLUTIONS FOR COUPLED KDV-BURGERS EQUATIONS WITH VARIABLE COEFFICIENTS

作　　者：高翔[1] 化存才[1] 胡东坡[1] 

机构地区：[1]云南师范大学数学学院,昆明650092

出　　处：《动力学与控制学报》2014年第4期295-303,共9页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(10772158;11162020);云南省中青年学术与技术带头人计划项目(2008PY059)~~

摘　　要：在双曲函数展开法和Jacobi椭圆函数展开法的基础上,应用它们的扩展形式来讨论三类时变系数下耦合Kd V和Burgers方程组,获得了在不同情形下的一些孤波解,其中包括类孤立子解,类冲击波解和类三角函数周期型解.Based on the their extended forms were cients, and some solitary shock-wave-like solutions hyperbolic function expansion method and Jacobi elliptic function expansion method, applied to discuss three kinds of coupled KdV-Burgers equations with variable coeffiwave solutions in different situations were derived, including soliton-like solutions , and trigonometric-function-like periodic solutions.

关 键 词：双曲正切函数展开法 JACOBI椭圆函数展开法 时变系数下耦合KdV—Burgers方程组 孤波 解 

分 类 号：O175[理学—数学]