A Truncated Painlevé Expansion and Exact Analytical Solutions for the Nonlinear Schr¨Odinger Equation with Variable Coefficients-Reference-Cited by-同舟云学术

A Truncated Painlevé Expansion and Exact Analytical Solutions for the Nonlinear Schr¨Odinger Equation with Variable Coefficients

Published:2005-12-01 Issue:11-12 Volume:60 Page:768-774
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Li Biao¹²³,Chen Yong¹²³

Affiliation:

1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

2. Nonlinear Science Center, Ningbo University, Ningbo 315211, China

3. Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China

Abstract

By using the truncated Painlevé expansion analysis an auto-Bäcklund transformation is found for the nonlinear Schrödinger equation with varying dispersion, nonlinearity, and gain or absorption. Then, based on the obtained auto-Bäcklund transformation and symbolic computation, we explore some explicit exact solutions including soliton-like solutions, singular soliton-like solutions, which may be useful to explain the corresponding physical phenomena. Further, the formation and interaction of solitons are simulated by computer. - PACS Nos.: 05.45.Yv, 02.30.Jr, 42.65.Tg

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2005-11-1202/pdf

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