The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform
Year: 2015
Author: Q. Li, J. B. Zhang, D. Y. Chen
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 5 : pp. 663–674
Abstract
Another form of the discrete mKdV hierarchy with self-consistent sources is given in the paper. The self-consistent sources are 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m450
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 5 : pp. 663–674
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Author Details
-
Integration of the finite complex Toda lattice with a self-consistent source
Babajanov, B.A. | Ruzmetov, M.M. | Sadullaev, Sh.O.Partial Differential Equations in Applied Mathematics, Vol. 7 (2023), Iss. P.100510
https://doi.org/10.1016/j.padiff.2023.100510 [Citations: 1] -
An Ablowitz-Ladik Integrable Lattice Hierarchy with Multiple Potentials
Ma, Wen-Xiu
Acta Mathematica Scientia, Vol. 40 (2020), Iss. 3 P.670
https://doi.org/10.1007/s10473-020-0306-3 [Citations: 4] -
Rogue waves on the periodic background in the high-order discrete mKdV equation
Zhen, Yanpei | Chen, JinbingNonlinear Dynamics, Vol. 111 (2023), Iss. 13 P.12511
https://doi.org/10.1007/s11071-023-08481-z [Citations: 4] -
Inverse scattering transform for a nonlinear lattice equation under non-vanishing boundary conditions
Liu, Qin-Ling | Guo, RuiOptical and Quantum Electronics, Vol. 56 (2024), Iss. 6
https://doi.org/10.1007/s11082-024-06886-7 [Citations: 0]