Trace formula and new form of N-soliton to the Gerdjikov-Ivanov equation

被引：27

作者：

Nie, Hui ^{[1
]}

Zhu, Junyi ^{[1
]}

Geng, Xianguo ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2018年 / 8卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Gerdjikov-Ivanov equation; Riemann-Hilbert approach; trace formula; soliton; NONLINEAR SCHRODINGER-EQUATION; RIEMANN-HILBERT PROBLEM; DARBOUX TRANSFORMATION; SIMILARITY REDUCTION; SYSTEMS;

D O I：

10.1007/s13324-017-0179-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Gerdjikov-Ivanov equation is investigated by the Riemann-Hilbert approach and the technique of regularization. The trace formula and new form of N-soliton solution are given. The dynamics of the stationary solitons and non-stationary solitons are discussed.

引用

页码：415 / 426

页数：12

共 31 条

[1]

Ablowitz M.J., 2003, Complex Variables

[2]

Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering

[3] LINEAR SPECTRAL PROBLEMS, NON-LINEAR EQUATIONS AND THE DELTA-BAR-METHOD [J].

BEALS, R ;

COIFMAN, RR .

INVERSE PROBLEMS, 1989, 5 (02) :87-130

[4] INTEGRABILITY OF NON-LINEAR HAMILTONIAN-SYSTEMS BY INVERSE SCATTERING METHOD [J].

CHEN, HH ;

LEE, YC ;

LIU, CS .

PHYSICA SCRIPTA, 1979, 20 (3-4) :490-492

[5] Variable separation and algebro-geometric solutions of the Gerdjikov-lvanov equation [J].

Dai, HH ;

Fan, EG .

CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :93-101

[6]

Doktorov E.V., 2007, SOLITONS NONLINEAR E

[7]

Faddeev L. D., 1987, Hamiltonian methods in the theory of solitons, V23

[8] Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation [J].

Fan, EG .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (39) :6925-6933

[9] Integrable evolution systems based on Gerdjikov-Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation [J].

Fan, EG .

JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (11) :7769-7782

[10]

Fan EG, 2001, COMMUN THEOR PHYS, V35, P651

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