On Darboux transformations for the derivative nonlinear Schrödinger equation

被引：0

作者：

Jonathan J. C. Nimmo

Halis Yilmaz

机构：

[1] University of Glasgow,School of Mathematics and Statistics

[2] University of Dicle,Department of Mathematics

来源：

Journal of Nonlinear Mathematical Physics | 2014年 / 21卷

关键词：

Derivative nonlinear Schrödinger equation; Darboux transformation; Quasideterminants; 35C08; 35Q55; 37K10; 37K35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider Darboux transformations for the derivative nonlinear Schrödinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved. The solution is expressed in quasideterminant forms. Additionally, the parabolic and soliton solutions of the derivative nonlinear Schrödinger equation are given as explicit examples.

引用

页码：278 / 293

页数：15

共 50 条

[21] Direct Perturbation Method for Derivative Nonlinear Schrdinger Equation
CHENG Xue-Ping~1 LIN Ji~2 HAN Ping~11 School of Physics
CommunicationsinTheoreticalPhysics, 2008, 50 (08) : 501 - 504
[22] Microscopic conservation laws for the derivative Nonlinear Schrödinger equation
Xingdong Tang
Guixiang Xu
Letters in Mathematical Physics, 2021, 111
[23] Bifurcation analysis for mixed derivative nonlinear Schrödinger's equation , α-helix nonlinear Schrödinger's equation and Zoomeron model
Rizvi, Syed T. R.
Seadawy, Aly R.
Naqvi, S. Kamran
Ismail, Muhammad
OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (03)
[24] DARBOUX TRANSFORMATIONS FOR A GENERALIZATION OF THE NONLINEAR SCHRO?DINGER EQUATION AND ITS REDUCTIONS
Shen, Jing
Geng, Xianguo
Xue, Bo
ROMANIAN REPORTS IN PHYSICS, 2023, 75 (01)
[25] A General Coupled Derivative Nonlinear Schrödinger System: Darboux Transformation and Soliton Solutions
Kuang, Yonghui
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2024, 31 (01)
[26] Darboux transformations for super-Schrödinger equation, super-Dirac equation and their exact solutions
Fajun Yu
Lili Feng
Li Li
Nonlinear Dynamics, 2017, 88 : 1257 - 1271
[27] Lorentz transformations for the schrödinger equation
Shtelen V.
Journal of Nonlinear Mathematical Physics, 1997, 4 (3-4) : 480 - 481
[28] Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrödinger equation
Bradley Isom
Dionyssios Mantzavinos
Atanas Stefanov
Mathematische Annalen, 2024, 388 : 2289 - 2329
[29] Darboux transformations for a system of coupled discrete Schrödinger equations
A. A. Suzko
Physics of Atomic Nuclei, 2002, 65 : 1553 - 1559
[30] Periodic wave solutions of generalized derivative nonlinear Schrödinger equation
Department of Computer Science, East China Normal University, Shanghai 200062, China
不详
Chin. Phys. Lett., 2008, 11 (3844-3847):

← 1 2 3 4 5 →