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 27 条

[1] ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249
[2] [Anonymous], BACKLUND DARBOUX TRA
[3] SCATTERING AND INVERSE SCATTERING FOR 1ST ORDER SYSTEMS
BEALS, R
COIFMAN, RR
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (01) : 39 - 90
[4] Cieslinski J, 1995, CHAOS SOLITON FRACT, V5, P2303, DOI 10.1016/0960-0779(94)E0100-4
[5] ERNST FJ, 1968, PHYS REV, V167, P1175, DOI 10.1103/PhysRev.167.1175
[6] NEW FORMULATION OF AXIALLY SYMMETRIC GRAVITATIONAL FIELD PROBLEM .2.
ERNST, FJ
[J]. PHYSICAL REVIEW, 1968, 168 (05): : 1415 - +
[7] GU CH, 1994, LETT MATH PHYS, V32, P1, DOI 10.1007/BF00761119
[8] GU CH, 1987, LETT MATH PHYS, V13, P179, DOI 10.1007/BF00423444
[9] GU CH, 1992, LETT MATH PHYS, V26, P199, DOI 10.1007/BF00420753
[10] GU CH, 1995, SOLITON THEORY ITS A

← 1 2 3 →