Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications

A New Variable-Coefficient AKNS Hierarchy and its Exact Solutions via Inverse Scattering transform

Authors
Sheng Zhang, Xudong Gao
Corresponding Author
Sheng Zhang
Available Online January 2017.
DOI
https://doi.org/10.2991/icmmita-16.2016.228How to use a DOI?
Keywords
Variable-coefficient AKNS hierarchy; Exact solution; Inverse scattering transform
Abstract

In this paper, a new variable-coefficient AKNS (vcAKNS) hierarchy is derived from the associated with linear spectral problem and its time evolution equation. The derived vcAKNS hierarchy is a solvable mixed hierarchy which contains isospectral nonlinear partial differential equations (PDEs) and nonisospectral nonlinear PDEs. To exactly solve the vcAKNS hierarchy, inverse scattering transform method is employed. Based on a systematic analysis, the formulae of exact solutions of the vcAKNS hierarchy are obtained. In the case of reflectionless potentials, the obtained exact solutions are reduced to n-soliton solutions.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications
Series
Advances in Computer Science Research
Publication Date
January 2017
ISBN
978-94-6252-285-5
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmmita-16.2016.228How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Sheng Zhang
AU  - Xudong Gao
PY  - 2017/01
DA  - 2017/01
TI  - A New Variable-Coefficient AKNS Hierarchy and its Exact Solutions via Inverse Scattering transform
BT  - Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications
PB  - Atlantis Press
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmita-16.2016.228
DO  - https://doi.org/10.2991/icmmita-16.2016.228
ID  - Zhang2017/01
ER  -