Newell方程的行波解研究

On the Traveling Wave Solutions of the Newell Equation

通过行波变换,利用微分方程定性理论与动力系统分支方法,根据Newell方程在不同参数形式下的相图,对相图中轨道的分析,利用椭圆积分,获得了Newell方程在不同参数下的孤立波等非线性行波解的参数表达式.

Through the traveling wave transformation,using the qualitative theory of differential equations and the dynamical system branching method,we obtain the phase diagram of the Newell equation in different parameter forms,and then by analyzing the orbit in the phase diagram,we finally obtain the nonlinear wave solution of the Newell equation under different parameters using the elliptical integral.