文献类型：期刊文献

英文题名：Solitary waves with the Madelung fluid description: A generalized derivative nonlinear Schrodinger equation

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

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]North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, ZA-2735 Mmabatho, South Africa

年份：2016

卷号：31

期号：1-3

起止页码：40

外文期刊名：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

收录：SCI-EXPANDED(收录号：WOS:000362046800005)、、WOS

基金：This work is supported by the National Natural Science Foundation of China under Grant no. 61308018, China Postdoctoral Science Foundation under Grant no. 2014T70031, and the Fundamental Research Funds for the Central Universities of China (2014RC019 and 2015JBM111).

语种：英文

外文关键词：Generalized derivative nonlinear; Schrodinger equation; Madelung fluid description; Solitary wave; Envelope soliton

外文摘要：Within the framework of the Madelung fluid description, we will derive bright and dark (including gray- and black-soliton) envelope solutions for a generalized derivative nonlinear Schrodinger model i partial derivative Psi/partial derivative t = partial derivative(2)Psi/partial derivative x(2) + i a partial derivative/partial derivative x (vertical bar Psi vertical bar(2)Psi) + b vertical bar Psi vertical bar(2)Psi, by virtue of the corresponding solitary wave solutions for the stationary Gardner equations. Note that we only consider the motion with stationary-profile current velocity case and exclude the motion with constant current velocity case for a not equal 0; on the other hand, our results are derived under suitable assumptions for the current velocity associated with corresponding boundary conditions of the fluid density, and under corresponding parametric constraints. (C) 2015 Elsevier B.V. All rights reserved.