扰动Benjamin方程物理模型的孤波解

Solitary Wave Solution for Physical Model of Disturbed Benjamin Equation

利用同伦映射方法研究广义非线性Benjamin方程的物理模型.构造了相应的同伦映射,选取了适当的初始近似,计算了各阶相应的孤子近似解,并对得到的孤波近似解进行精度比较,结果表明用同伦映射方法得到的近似解具有较好的精度.

The physical model of generalized nonlinear disturbed Benjamin equation was considered.The homotopic mapping method was used to construct corresponding homotopic mapping.And then suitable initial approximation was selected,and the arbitrary order approximate solution of the soliton was calculated.A weakly disturbed equation was studied.The accuracy for the obtained approximate soliton was compared,and it was found that the obtained approximate soliton by the homotopic mapping method is of a good accuracy.