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Some discussions about the variable separating method for solving nonlinear models
Authors:Ruan Hang-Yu
Institution:Department of Physics, Ningbo University, Ningbo 315211, China
Abstract: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.
Keywords:variable separating method  nonzero seed solution  nonlinear equation
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