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Volume 7, Issue 5
The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform

Q. Li, J. B. Zhang & D. Y. Chen

Adv. Appl. Math. Mech., 7 (2015), pp. 663-674.

Published online: 2018-05

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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 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.

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@Article{AAMM-7-663, author = {Li , Q.Zhang , J. B. and Chen , D. Y.}, title = {The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {5}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m450}, url = {http://global-sci.org/intro/article_detail/aamm/12069.html} }
TY - JOUR T1 - The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform AU - Li , Q. AU - Zhang , J. B. AU - Chen , D. Y. JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 663 EP - 674 PY - 2018 DA - 2018/05 SN - 7 DO - http://doi.org/10.4208/aamm.2013.m450 UR - https://global-sci.org/intro/article_detail/aamm/12069.html KW - AB -

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.

Q. Li, J. B. Zhang & D. Y. Chen. (1970). The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform. Advances in Applied Mathematics and Mechanics. 7 (5). 663-674. doi:10.4208/aamm.2013.m450
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