Some analytic and series solutions of integrable generalized Broer-Kaup system

Alexandria Engineering Journal

Pinki Kumari¹  Sandeep Malik²  Sachin Kumar²  Kottakkaran Sooppy Nisar² 

[1] Corresponding author.;Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, Punjab, India;

关键词: Generalized Broer-Kaup system;    Invariant solution;    Painlevé Integrability;    Conservation law;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the integrability of the model. Then, a combination of Lie classical approach with polynomial type assumption is used to find its series solutions. Additionally, some soliton solutions are derived via tanh-expansion method and Kudryashov method. Also, local conservation laws of the governing model are constructed by Ibragimov method. The results of this study are novel and can be helpful in several scientific fields.

【 授权许可】

Unknown