Title :
Singular solution of the variable coefficient nonlinear Schrödinger equation
Author :
Wang, Youying ; He, Jingsong
Author_Institution :
Dept. of Math., Ningbo Univ., Ningbo, China
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;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002444
