摘要
引入1个简单的变换,把(3+1)维破裂孤子方程化为一维的KdV方程,从而通过已知KdV方程的解得到了(3+1)维破裂孤子方程的若干精确解.这种方法可以推广开来,方便地建立起某一高维方程和其他低维非线性方程的联系,然后通过求解低维的非线性方程来找到高维非线性方程的精确解.
(3+1)-dimensional breaking soliton equation was reduced to KdV equation by introducing a simple transformation. Because many solutions of KdV equation were found, so we can get the solutions of breaking soliton equation easily. The approach can be generalized to build the relations between a high dimensional equation and a lower dimensional nonlinear equation and to get the exact solutions of the high dimensional nonlinear equation via solving the lower one.
出处
《辽宁师范大学学报（自然科学版）》
CAS
2004年第2期155-157,共3页
Journal of Liaoning Normal University:Natural Science Edition
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项目(NWNU KJCXGC 215)
西北师范大学青年教师科研基金资助项目(NWNU QN 2003 29)
