A general integrable three-component coupled nonlocal nonlinear Schrödinger equation

A general integrable three-component coupled nonlocal nonlinear Schrödinger equation In this paper, we investigate a general integrable three-component coupled nonlocal nonlinear Schrödinger system with the parity-time symmetry. The general Nth Darboux transformation for this equation is constructed by proposing its Lax pair and infinitely many conservation laws. By using the Darboux transformation, its soliton solutions are obtained. Finally, we concretely discuss the dynamics of the obtained soliton solutions, which are also demonstrated by some figures. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

A general integrable three-component coupled nonlocal nonlinear Schrödinger equation

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Publisher
Springer Netherlands
Copyright
Copyright © 2017 by Springer Science+Business Media B.V.
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-017-3621-z
Publisher site
See Article on Publisher Site

Abstract

In this paper, we investigate a general integrable three-component coupled nonlocal nonlinear Schrödinger system with the parity-time symmetry. The general Nth Darboux transformation for this equation is constructed by proposing its Lax pair and infinitely many conservation laws. By using the Darboux transformation, its soliton solutions are obtained. Finally, we concretely discuss the dynamics of the obtained soliton solutions, which are also demonstrated by some figures.

Journal

Nonlinear DynamicsSpringer Journals

Published: Jun 23, 2017

References

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