文献类型：期刊文献

英文题名：Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model

作者：Lu, Xing[1,2];Ma, Wen-Xiu[2];Yu, Jun[2,3];Lin, Fuhong[4];Khalique, Chaudry Masood[5]

机构：[1]Beijing Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China;[2]Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA;[3]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[4]Univ Sci & Technol Beijing, Sch Comp & Commun Engn, Beijing 100083, Peoples R China;[5]North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa

年份：2015

卷号：82

期号：3

起止页码：1211

外文期刊名：NONLINEAR DYNAMICS

收录：SCI-EXPANDED(收录号：WOS:000362965700010)、、EI(收录号：20154201409251)、Scopus(收录号：2-s2.0-84940545053)、WOS

基金：This work is supported by the National Natural Science Foundation of China under Grant No. 61308018, by China Postdoctoral Science Foundation under Grant No. 2014T70031, by the Fundamental Research Funds for the Central Universities of China (2014RC019 and 2015JBM111). WXM is supported in part by the National Natural Science Foundation of China under Grant Nos. 11271008 and 11371326, Natural Science Foundation of Shanghai under Grant No. 11ZR1414100, Zhejiang Innovation Project of China under Grant No. T200905, the First-class Discipline of Universities in Shanghai and the Shanghai University Leading Academic Discipline Project (No. A13-0101-12-004) and Shanghai University of Electric Power.

语种：英文

外文关键词：Gerdjikov-Ivanov model; Madelung fluid description; Solitary wave; Envelope soliton

外文摘要：Within the context of the Madelung fluid description, investigation has been carried out on the connection between the envelope soliton-like solutions of a wide family of nonlinear Schrodinger equations and the soliton-like solutions of a wide family of Korteweg-de Vries or Korteweg-de Vries-type equations. Under suitable hypothesis for the current velocity, the Gerdjikov-Ivanov envelope solitons are derived and discussed in this paper. For a motion with the stationary profile current velocity, the fluid density satisfies a generalized stationary Gardner equation, which possesses bright- and dark-type (including gray and black) solitary waves due to associated parametric constraints, and finally envelope solitons are found correspondingly for the Gerdjikov-Ivanov model. Moreover, this approach may be useful for studying other nonlinear Schrodinger-type equations.