薛定谔、KdV、KdV-Burgers方程的椭圆函数解和孤立子——非线性偏微分方程的解  

Solutions of Elliptic Function,Solitons to Schr dinger,KdV and KdV-Burgers Equation——Solutions to Nonlinear Partial Differential Equations

作　　者：肖婷婷 XIAO Ting-ting(College of Mathematics and Statistics,Longdong University,Qingyang 745000,Gansu)

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《陇东学院学报》2021年第2期5-8,共4页Journal of Longdong University

摘　　要：利用Jacobi椭圆函数展开法用简单待定系数法试探并求解了薛定谔方程、KdV方程、KdV-Burgers方程的解析解,以及Tanh(x)形式的孤立子。This paper presents elliptic function solutions,solitons for single Schrodinger,KdV and KdV-Burgers Equation.Trying to calculate the undetermined coefficients,the particular properties make the calculation straightforward and tentative.At the last the research and calculation are turned out to be consistent with previous studies.

关 键 词：KdV和KdV-Burgers方程 孤立子 JACOBI椭圆函数 薛定谔方程 

分 类 号：O29[理学—应用数学]