Singular solution of the variable coefficient nonlinear Schrödinger equation

Author

Wang, Youying ; He, Jingsong

Author_Institution

Dept. of Math., Ningbo Univ., Ningbo, China

fYear

2011

fDate

26-28 July 2011

Firstpage

5993

Lastpage

5996

Abstract

In this article, two types of transformation are applied to gain three interesting singular potential functions of the variable coefficient nonlinear Schrodinger (VCNLS) equation. Meanwhile, the corresponding concrete expressions of the VCNLS equation are obtained. Through making application of the known soliton solutions of the standard nonlinear Schrodinger (NLS) equation and the two types of transformation, three singular solutions of the VCNLS equations are obtained. The singular solutions in this paper have some similarities with rogue wave and nonautonomous soliton solution.

Keywords

Schrodinger equation; nonlinear differential equations; solitons; VCNLS equation; nonautonomous soliton solution; rogue wave; singular potential functions; singular solution; soliton solutions; variable coefficient nonlinear Schrodinger equation; Concrete; Equations; Helium; Mathematical model; Partial differential equations; Solitons; Trajectory; Integrable system; Nonautonomous Soliton Solution; Rogue wave; Singular solution; Soliton solution; Variable coefficient nonlinear Schrödinger equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002444

Filename

6002444