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The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform

Published online by Cambridge University Press:  21 July 2015

Q. Li ,
J. B. Zhang  and
D. Y. Chen
Q. Li*
Affiliation:
State Key Laboratory Breeding Base of Nuclear Resources and Environment, Department of Mathematics, East China Institute of Technology, Nanchang 330013, China
J. B. Zhang
Affiliation:
School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu 221116, China
D. Y. Chen
Affiliation:
Department of Mathematics, Shanghai University, Shanghai 200444, China
*
*Corresponding author. Email: qli289@aliyun.com (Q. Li), jbzmath@xznu.edu.cn (J. B. Zhang), dychen@mail.shu.edu.cn (D. Y. Chen)
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Abstract

Another form of the discrete mKdV hierarchy with self-consistent sources is given in the paper. The self-consistent sources is presented only by the eigenfunctions corresponding to the reduction of the Ablowitz-Ladik spectral problem. The exact soliton solutions are also derived by the inverse scattering transform.

Keywords

37K4035Q51Discrete mKdV hierarchy with self-consistent sourceseigenfunctionexact solutionsinverse scattering transform

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Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 5 , October 2015 , pp. 663 - 674
Copyright
Copyright © Global-Science Press 2015 

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