Some discussions about method for solving the variable separating nonlinear models  

作　　者：阮航宇 

机构地区：[1]Department of Physics, Ningbo University, Ningbo 315211, China

出　　处：《Chinese Physics B》2010年第5期17-24,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant Nos. 10675065, 90503006 and 10735030） and the K.C.Wong Magna Fund in Ningbo University.Acknowledgement The author would like to thank the helpful discussion of Prof. Sen-Yue Lou.

摘　　要：Through analysing the exact solution of some nonlinear models, the role of the variable separating method in solving nonlinear equations is discussed. We find that rich solution structures of some special fields of these equations come from the nonzero seed solution. However, these nonzero seed solutions is likely to result in the divergent phenomena for the other field component of the same equation. The convergence and the signification of all field components should be discussed when someone solves the nonlinear equation using the variable separating method.Through analysing the exact solution of some nonlinear models, the role of the variable separating method in solving nonlinear equations is discussed. We find that rich solution structures of some special fields of these equations come from the nonzero seed solution. However, these nonzero seed solutions is likely to result in the divergent phenomena for the other field component of the same equation. The convergence and the signification of all field components should be discussed when someone solves the nonlinear equation using the variable separating method.

关 键 词：variable separating method nonzero seed solution nonlinear equation 

分 类 号：O212.1[理学—概率论与数理统计] O241.7[理学—数学]