(3+1)维NNV方程的精确解  

Exact solutions of (3+1)-dimensional NNV equation

作　　者：石玉仁[1] 段文山[1] 吕克璞[1] 洪学仁[1] 杨红娟[1] 赵金保[1] 

机构地区：[1]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2003年第4期44-46,共3页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10247008);西北师范大学科技创新工程资助课题(NWNU KJCXGC 215)

摘　　要：引入一个简单的变换,把(3+1)维Nizhnik Novikov Veselov(NNV)方程化为一维KdV方程,从而通过已知KdV方程的解得到(3+1)维NNV方程的若干精确解.这种方法可以推广开来,方便地建立起某一高维方程和其它低维非线性方程的联系,然后通过求解低维的非线性方程找到高维非线性方程的精确解.(3+1)dimensional NizhnikNovikovVeselov equation is reduced to KdV equation by introducing a simple transformation.Because many solutions of KdV equation have been found,the solutions of NNV equation can be got.easily.The approach can be generalized to build the relations between a high dimensional equation and a lower dimensional nonlinear equation and then get the exact solutions of the high dimensional nonlinear equation via solving the lower one.

关 键 词：(3+1)维NNV方程 KDV方程 精确解 

分 类 号：O241.7[理学—计算数学] O322[理学—数学]