Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958776 | Computers & Mathematics with Applications | 2016 | 5 Pages |
Abstract
For the exponential traveling wave solutions to the Hirota bilinear equations, a sufficient and necessary criterion for the existence of linear superposition principle has been given. Motivated by this criterion, we propose a new Hirota bilinear equation via using a multivariate polynomial. Applying the linear superposition principle to this new Hirota bilinear equation, we finally find two types of resonant multiple wave solutions, among which, the resonant three-wave solutions are illustrated with three-dimensional plots.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Li-Na Gao, Xue-Ying Zhao, Yao-Yao Zi, Jun Yu, Xing Lü,