In this paper, a simple direct method is presented to find equivalence transformation of a nonlinear Whitham- Broer-Kaup equations. Applying this equivalence transformation, we can obtain the symmetry group theorem of the Whitham-Broer-Kaup equations and then derive series of new exact and explicit solutions of the Whitham-Broer-Kaup equations according to solutions of the previous references.
| Published in | Pure and Applied Mathematics Journal (Volume 5, Issue 6) |
| DOI | 10.11648/j.pamj.20160506.11 |
| Page(s) | 174-180 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Whitham-Broer-Kaup Equations, Direct Method, Equivalence Transformation, Symmetry, Explicit Solutions
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APA Style
Baodan Tian, Yanhong Qiu. (2016). Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water. Pure and Applied Mathematics Journal, 5(6), 174-180. https://doi.org/10.11648/j.pamj.20160506.11
ACS Style
Baodan Tian; Yanhong Qiu. Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water. Pure Appl. Math. J. 2016, 5(6), 174-180. doi: 10.11648/j.pamj.20160506.11
AMA Style
Baodan Tian, Yanhong Qiu. Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water. Pure Appl Math J. 2016;5(6):174-180. doi: 10.11648/j.pamj.20160506.11
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Download@article{10.11648/j.pamj.20160506.11,
author = {Baodan Tian and Yanhong Qiu},
title = {Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water},
journal = {Pure and Applied Mathematics Journal},
volume = {5},
number = {6},
pages = {174-180},
doi = {10.11648/j.pamj.20160506.11},
url = {https://doi.org/10.11648/j.pamj.20160506.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20160506.11},
abstract = {In this paper, a simple direct method is presented to find equivalence transformation of a nonlinear Whitham- Broer-Kaup equations. Applying this equivalence transformation, we can obtain the symmetry group theorem of the Whitham-Broer-Kaup equations and then derive series of new exact and explicit solutions of the Whitham-Broer-Kaup equations according to solutions of the previous references.},
year = {2016}
}
TY - JOUR T1 - Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water AU - Baodan Tian AU - Yanhong Qiu Y1 - 2016/10/17 PY - 2016 N1 - https://doi.org/10.11648/j.pamj.20160506.11 DO - 10.11648/j.pamj.20160506.11 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 174 EP - 180 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20160506.11 AB - In this paper, a simple direct method is presented to find equivalence transformation of a nonlinear Whitham- Broer-Kaup equations. Applying this equivalence transformation, we can obtain the symmetry group theorem of the Whitham-Broer-Kaup equations and then derive series of new exact and explicit solutions of the Whitham-Broer-Kaup equations according to solutions of the previous references. VL - 5 IS - 6 ER -
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