NPDE - What does NPDE stand for? The Free Dictionary
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Searching for exact soliton solutions of NPDEs plays an important and significant role in the study on the dynamics of those phenomena.
It is well known that NPDEs with variable coefficients are more realistic in various physical situations than their constant coefficients counterparts.
The rest of this paper is organized as follows: in Section 2, we will describe the auxiliary equation method for finding out solutions of variable-coefficient NPDEs and give the main steps of the method here.