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The classification of the single traveling wave solutions to ( 1 + 1 ) \\((1+1)\\) dimensional Gardner equation with variable coefficients
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The classification of the single traveling wave solutions to ( 1 + 1 ) \\((1+1)\\) dimensional Gardner equation with variable coefficients
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Journal Article
The classification of the single traveling wave solutions to ( 1 + 1 ) \\((1+1)\\) dimensional Gardner equation with variable coefficients
2019
Overview
In this paper the classification of single traveling wave solutions of (1+1)\\((1+1)\\) dimensional Gardner equation with variable coefficients is obtained by applying the complete discrimination system to the polynomial and trial equation methods. In particular, the corresponding solutions for the concrete parameters are constructed to show that each solution in the classification can be realized. Moreover, numerical simulations shown in the paper could help us better understand the nature of each solution.
Publisher
Springer Nature B.V
Subject
