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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 = {Q. and Li and and 19800 and and Q. Li and J. B. and Zhang and and 19801 and and J. B. Zhang and D. Y. and Chen and and 19802 and and D. Y. Chen}, 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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