Published April 1, 2018 | Version v1
Journal article Metadata-only

An extension of integrable equations related to AKNS and WKI spectral problems and their reductions

Creators

  • 1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001 (China)

Description

A novel hierarchy of integrable nonlinear evolution equations related to the combined Ablowitz–Kaup–Newell–Segur (AKNS) and Wadati–Konno–Ichikawa (WKI) spectral problems is proposed, from which the Lax pair for a corresponding negative flow and its infinite many conservation laws are obtained. Furthermore, a reduction of this hierarchy is discussed, by which a generalized sinh-Gordon equation is derived on the basis of its negative flow. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1674-1056/27/4/040201

Additional details

Identifiers

DOI
10.1088/1674-1056/27/4/040201;

Publishing Information

Journal Title
Chinese Physics. B
Journal Volume
27
Journal Issue
4
Journal Page Range
[4 p.]
ISSN
1674-1056

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52046101
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
CONSERVATION LAWS; EVOLUTION EQUATIONS; NONLINEAR PROBLEMS; SINE-GORDON EQUATION; SPECTRA
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS