文献类型：期刊文献

英文题名：Consistent Riccati expansion and rational solutions of the Drinfel'd-Sokolov-Wilson equation

作者：Ren, Bo[1];Lin, Ji[2];Lou, Zhi-Mei[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

年份：2020

卷号：105

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：SCI-EXPANDED(收录号：WOS:000527849300030)、、EI(收录号：20201108288939)、Scopus(收录号：2-s2.0-85081134700)、WOS

基金：This work is supported by the National Natural Science Foundation of China Nos. 11775146 and 11835011.

语种：英文

外文关键词：Drinfel'd-Sokolov-Wilson equation; Consistent Riccati expansion method; Rational solutions

外文摘要：The consistent Riccati expansion (CRE) is used to the Drinfel'd-Sokolov-Wilson (DSW) equation. It demonstrates that the DSW equation is the CRE solvability system. The bilinear form of the DSW equation is constructed by the truncated Painleve method. One rogue wave including the dark and bright types is explicitly found via choosing a quadratic function in the bilinear form of the DSW equation. The interactions between rational solutions and other complicated waves are generated by mixing the polynomial function with an arbitrary function. These types of rational solutions are analyzed graphically by selecting appropriate parameters. (C) 2020 Elsevier Ltd. All rights reserved.