In this paper,we propose a generalized form of the PLK method.To solve weakly nonlinear prob- lems,in straining the related coordinates ,we choose a kind of transformations including nonlinear functionals of de- pende...In this paper,we propose a generalized form of the PLK method.To solve weakly nonlinear prob- lems,in straining the related coordinates ,we choose a kind of transformations including nonlinear functionals of de- pendent variables to linearize asymptotically the original problems,and give more perfect asymptotic solutions with the first-term approximation and the derived transformations.The analysis for some practical examples shows that the generalized method is straightforward and effective and might be applied to more complicated nonlinear problems.展开更多
基金The project is supported by the National Natural Science Foundation of China
文摘In this paper,we propose a generalized form of the PLK method.To solve weakly nonlinear prob- lems,in straining the related coordinates ,we choose a kind of transformations including nonlinear functionals of de- pendent variables to linearize asymptotically the original problems,and give more perfect asymptotic solutions with the first-term approximation and the derived transformations.The analysis for some practical examples shows that the generalized method is straightforward and effective and might be applied to more complicated nonlinear problems.
