ITM Web Conf.
Volume 34, 2020International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|Number of page(s)
|Differential Equations, Dynamical Systems, and Geometry
|03 December 2020
Painlevé integrability and multisoliton solutions of a generalized KdV system
Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, India
2 Department of Mathematics, Central University of Haryana, Mahendergarh, Haryana, India
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
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