INTEGRABLE HAMILTONIAN SYSTEMS RELATED TO THE AKNS SYSTEM WITH MATRIX POTENTIALS-Reference-Cited by-同舟云学术

INTEGRABLE HAMILTONIAN SYSTEMS RELATED TO THE AKNS SYSTEM WITH MATRIX POTENTIALS

Published:2008-11-20 Issue:29 Volume:22 Page:2831-2842
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

QIN ZHENYUN¹²,ZHOU ZIXIANG¹²,ZHOU RUGUANG³

Affiliation:

1. School of Mathematical Science, Fudan University, Shanghai 200433, China

2. Key Laboratory of Mathematics for Nonlinear Sciences of Ministry of Education of China, China

3. School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, China

Abstract

In this paper, we extend the nonlinearization method to the AKNS system with matrix potentials for obtaining new finite-dimensional Hamiltonian systems. The Liouville complete integrability of these Hamiltonian systems is further shown by using involutive and independent motion integrals.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984908017400

Reference28 articles.

1. Mathematical Methods of Classical Mechanics

2. Constrained flows of integrable PDEs and bi-Hamiltonian structure of the Garnier system

3. How to construct finite‐dimensional bi‐Hamiltonian systems from soliton equations: Jacobi integrable potentials

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