摘要
首先介绍了带有两个辅助参数的改进同伦分析方法,然后用该方法得到了推广Kuramoto-Sivashin-sky方程的同伦近似解.所得近似解与精确孤立波解进行比较,发现本文得到的近似解更有效地逼近真实解.因为该解包含了两个辅助参数,所以能够更有效地调节和控制其收敛区域和速度.研究表明带有两个辅助参数的改进同伦分析方法对复杂非线性系统的研究更有它的优点.
An improved homotopy analysis method with two auxiliary parameters was introduced,then the homotopy approximate solutions for the generalized Kuramoto-Sivashinsky equation were obtained by using this method, which were compared with the exact solitary wave solutions. The comparison shows that the approximate solution more effectively approaches the real solution,because it contains two auxiliary parameters,which can regulate and control more effectively its convergence region and rate. This indicates that the improved homotopy analysis method with two auxiliary parameters has its advantages to study complex nonlinear systems.
出处
《动力学与控制学报》
2012年第1期5-10,共6页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10862003)~~
