| Issue |
ITM Web Conf.
Volume 34, 2020
International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|
|
|---|---|---|
| Article Number | 03008 | |
| Number of page(s) | 8 | |
| Section | Differential Equations, Dynamical Systems, and Geometry | |
| DOI | https://doi.org/10.1051/itmconf/20203403008 | |
| Published online | 03 December 2020 | |
Painlevé integrability and multisoliton solutions of a generalized KdV system
1
Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, India
2
Department of Mathematics, Central University of Haryana, Mahendergarh, Haryana, India
* e-mail: yadav.pk1403@gmail.com
** e-mail: rajeshateli@gmail.com
*** e-mail: sachin1jan@yahoo.com
The integrability of a generalized KdV model, which has abundant physical applications in many fields, is investigated by employing Painlevé test. Eventually, we discover a new generalized P-type KdV model in sense of WTCKruskal method. Subsequently, Hereman’s simplified bilinear method is used to examine the integrability of the resulted model. As a result, multiple soliton solutions of newly discovered model are formally obtained.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.