Nguyen, L. T. K. (2016) Wronskian formulation and Ansatz method for bad Boussinesq equation. Vietnam Journal of Mathematics, 44(3), pp. 449-462. (doi: 10.1007/s10013-015-0145-z)
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Abstract
In this work, two variants of the bad Boussinesq equation are studied. A Wronskian formulation is constructed for the solutions of the first equation. Various samples of real and complex solutions are given in accordance with zero and non-zero eigenvalues of the associated linear system of differential equations. Although the Wronskian formulation can also be derived for the second equation, a direct Ansatz method is proposed and successfully applied to obtain real solutions. The method is presented in this paper with concrete examples.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Nguyen, Dr Khiem |
| Authors: | Nguyen, L. T. K. |
| College/School: | College of Science and Engineering > School of Engineering > Systems Power and Energy |
| Journal Name: | Vietnam Journal of Mathematics |
| Publisher: | Springer |
| ISSN: | 2305-221X |
| ISSN (Online): | 2305-2228 |
| Published Online: | 29 April 2015 |
| Related URLs: |
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