文献类型：期刊文献

英文题名：Resonant behavior of multiple wave solutions to a Hirota bilinear equation

作者：Gao, Li-Na[1];Zhao, Xue-Ying[1];Zi, Yao-Yao[1];Yu, Jun[2];Lu, Xing[1]

机构：[1]Beijing Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China;[2]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2016

卷号：72

期号：5

起止页码：1225

外文期刊名：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000383004300001)、、EI(收录号：20165003125863)、Scopus(收录号：2-s2.0-85002556893)、WOS

基金：This work is supported by the National Natural Science Foundation of China under Grant Nos. 61308018 and 11275129, by China Postdoctoral Science Foundation under Grant No. 2014T70031, by the Fundamental Research Funds for the Central Universities of China (2015JBM111).

语种：英文

外文关键词：Resonant solution; Multiple wave solution; Hirota bilinear equation; Linear superposition principle

外文摘要：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.