在加强改进演化方程方法下的(1+1)-维组合KdV-mKdV方程的精确解  

Exact solution of (1+1)-D-Combination KdV-mKdV equation under the method of strengthening and improving the evolution equation

作　　者：刘名权[1] 

机构地区：[1]朝阳师范高等专科学校,辽宁朝阳122000

出　　处：《辽宁师专学报（自然科学版）》2017年第1期1-5,共5页Journal of Liaoning Normal College(Natural Science Edition)

摘　　要：为了求解更高维数的发展方程,使用加强改进演化方程的方法来构造非线性发展方程的变系数精确解,并使用这种方法获得了(1+1)-维组合KdV-mKdV方程的精确解,并且从精确解中得到了类孤波解与孤波解.结果表明,在数学物理领域中,使用加强改进演化方程的方法是求解非线性发展方程精确解的有力工具.To solve the evolution equation of higher dimension,the method of strengthening and improving evolution equation has been used to obtain the exact solutions of variable coefficient of nonlinear evolution equations,which can be further utilized to obtain the exact solution of（1＋1）-DCombination KdV-mKdV equations from which solitary-like solution and soliton solution can be resolved.The results showed that the method of strengthening and improving the evolution equation is a validate method to solve the exact solutions of nonlinear evolution equations in the field of mathematic and physics.

关 键 词：加强改进演化方程的方法 非线性发展方程 精确解 类孤波解 孤波解 

分 类 号：O175.2[理学—数学]