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