Darboux transformation for the non-isospectral AKNS hierarchy and its asymptotic property

被引：10

作者：

Zhou, Lingjun ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 34期

关键词：

non-isospectral AKNS hierarchy; Darboux transformation; integral constant;

D O I：

10.1016/j.physleta.2008.06.072

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, the Darboux transformation for the non-isospectral AKNS hierarchy is constructed. We show that the Darboux transformation for the non-isospectral AKNS hierarchy is not an auto-Backlund transformation, because the integral constants of the hierarchy will be changed after the transformation. The transform rule of the integral constants will be also derived. By this means, the soliton solutions of the nonlinear equations derived by the non-isospectral AKNS hierarchy can be found. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：5523 / 5528

页数：6

共 50 条

[31] Fractional isospectral and non-isospectral AKNS hierarchies and their analytic methods for N-fractal solutions with Mittag-Leffler functions
Bo Xu
Yufeng Zhang
Sheng Zhang
Advances in Difference Equations, 2021
[32] The generalized multi-component AKNS hierarchy and N-fold Darboux transformation
Yang, Hong-Xiang
Wang, Dao-Lin
Li, Chang-Sheng
MODERN PHYSICS LETTERS B, 2006, 20 (25): : 1575 - 1589
[33] A non-isospectral integrable couplings of Volterra lattice hierarchy with self-consistent sources
Yu, Fajun
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) : 1217 - 1223
[34] Mixed spectral AKNS hierarchy from linear isospectral problem and its exact solutions
Zhang, Sheng
Gao, Xu-Dong
OPEN PHYSICS, 2015, 13 (01): : 310 - 322
[35] A 2+1 non-isospectral integrable lattice hierarchy related to a generalized discrete second Painleve' hierarchy
Gordoa, Pilar R.
Pickering, Andrew
Zhu, Zuo-nong
CHAOS SOLITONS & FRACTALS, 2006, 29 (04) : 862 - 870
[36] The exact solutions for the non-isospectral Kaup-Newell hierarchy via the inverse scattering transform
Zhang, Hongyi
Zhang, Yufeng
Feng, Binlu
Afzal, Faiza
APPLIED MATHEMATICS LETTERS, 2024, 152
[37] On (2+1)-Dimensional Non-isospectral Toda Lattice Hierarchy and Integrable Coupling System
YU Fa-Jun College of Maths and Systematic Science
CommunicationsinTheoreticalPhysics, 2008, 49 (03) : 549 - 554
[38] On (2+1)-dimensional non-isospectral Toda lattice hierarchy and integrable coupling system
Fa-Jun, Yu
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (03) : 549 - 554
[39] Non-isospectral integrable couplings of Ablowitz-Ladik hierarchy with self-consistent sources
Yu, Fajun
PHYSICS LETTERS A, 2008, 372 (46) : 6909 - 6915
[40] Solving the non-isospectral Ablowitz-Ladik hierarchy via the inverse scattering transform and reductions
Li, Qi
Chen, Deng-yuan
Zhang, Jian-bing
Chen, Shou-ting
CHAOS SOLITONS & FRACTALS, 2012, 45 (12) : 1479 - 1485

← 1 2 3 4 5 →