新的函数变换与Newell方程新的精确解  

New function transformation and new exact solutions of Newell equation

作　　者：包永梅[1] 

机构地区：[1]内蒙古财经大学统计与数学学院,内蒙古呼和浩特010070

出　　处：《西北师范大学学报（自然科学版）》2016年第1期40-42,共3页Journal of Northwest Normal University(Natural Science)

基　　金：内蒙古自然科学基金资助项目(2015MS0113)

摘　　要：为了构造非线性数学物理方程Newell方程新的精确解,基于辅助方程法思想,对Newell方程做行波变换得到常微分方程,利用新的函数变换即反正切函数变换,并借助Riccati辅助方程解得到了Newell方程新的精确解.In this paper,in order to construct new exact solutions for nonlinear mathematical physical Newell equation,ordinary differential equations is obtained by make traveling wave transformation to Newell equations.Based on the thought of the auxiliary equation method,new exact solutions of Newell equation are obtained by using new function transformation that is anti tangent function transformation and with Riccati auxiliary equation.

关 键 词：Newell方程 函数变换 精确解 

分 类 号：O175.29[理学—数学]