An extension of the coupled derivative nonlinear Schrödinger hierarchy-Reference-Cited by-同舟云学术

An extension of the coupled derivative nonlinear Schrödinger hierarchy

Published:2018-01-20 Issue:02 Volume:32 Page:1850016
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Xu Siqi¹²,Geng Xianguo¹,Xue Bo¹^ORCID

Affiliation:

1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China

2. College of Civil Engineering, Xinyang Normal University, Xinyang, Henan 464000, China

Abstract

In this paper, a 3 × 3 matrix spectral problem with six potentials is considered. With the help of the compatibility condition, a hierarchy of new nonlinear evolution equations which can be reduced to the coupled derivative nonlinear Schrödinger (CDNLS) equations is obtained. By use of the trace identity, it is proved that all the members in this new hierarchy have generalized bi-Hamiltonian structures. Moreover, infinitely many conservation laws of this hierarchy are constructed.

Funder

National Natural Science Foundation of China

Foundation for the Author of National Excellent Doctoral Dissertation of the People's Republic of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984918500161

Reference27 articles.

1. Method for Solving the Korteweg-deVries Equation

2. Solitons and the Inverse Scattering Transform

3. Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications

4. Soliton Theory and Its Applications

5. New integrable systems of derivative nonlinear Schrödinger equations with multiple components

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