Title :
The Darboux transformation of the Gerdjikov-Ivanov equation from non-zero seed
Author :
Pei, Limin ; Li, Biao
Author_Institution :
Dept. of Math., Ningbo Univ., Ningbo, China
Abstract :
The explicit N-fold Darboux transformation with multiparameters for a kind of derivative nonlinear Schrödinger equation is constructed with the help of the gauge transformation of the spectral problem. What is more, dark soliton, bright soliton, breather solution, periodic solution of the Gerdjikov-Ivanov equation are given explicitly from different seed solutions.
Keywords :
Schrodinger equation; nonlinear equations; solitons; Gerdjikov-Ivanov equation; explicit N-fold Darboux transformation; gauge transformation; nonlinear Schrodinger equation; spectral problem; Equations; Mathematical model; Plasmas; Solitons; System-on-a-chip; Trajectory; Darboux transformation; derivative nonlinear Schrödinger equation; periodic solution; soliton;
Conference_Titel :
Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on
Conference_Location :
XianNing
Print_ISBN :
978-1-61284-458-9
DOI :
10.1109/CECNET.2011.5768407
