Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 72, Issue 5, Pages 1225-1229Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2016.06.008
Keywords
Resonant solution; Multiple wave solution; Hirota bilinear equation; Linear superposition principle
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Funding
- National Natural Science Foundation of China [61308018, 11275129]
- China Postdoctoral Science Foundation [2014T70031]
- Fundamental Research Funds for the Central Universities of China [2015JBM111]
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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. (C) 2016 Elsevier Ltd. All rights reserved.
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