KdV方程的显式精确解  

Exact and explicit solutions to KdV equation

作　　者：关伟[1] 张鸿庆[1] 

机构地区：[1]大连理工大学,辽宁大连116024

出　　处：《甘肃工业大学学报》2000年第4期96-99,共4页Journal of Gansu University of Technology

基　　金：国家自然科学基金;国家重点基础研究发展规划项目!(G19980 30 6 0 0 )

摘　　要：将非线性方程的解表示成修正的三角函数的有限级数 ,从而将非线性方程的求解问题转化为代数方程求解问题 ,借助 Mathematica软件 ,采用修正的三角函数法和吴文俊消元法 ,得到了 Kd V方程的多组显式精确解 .The solution to a nonlinear equation is expressed in the form of limited series of amended trigonometric function and the solution of nonlinear equation is transformed into the solution of a system of algebraic equations. So, with the help of Mathmetica and using the amended trigonometric function method as well as Wu elimination method, a group of exact and explicit solutions to KdV equation is obtained.

关 键 词：KDV方程 显示精确解 修正 三角函数法 吴消元法 

分 类 号：O175.29[理学—数学]