Explicit exact solutions for variable coefficient Broer-Kaup equations

Singh, Manjit; Gupta, R.K.

Explicit exact solutions for variable coefficient Broer-Kaup equations

Document Type : Research Paper

Authors

Manjit Singh ¹
R.K. Gupta ²

¹ Yadawindra College of Engineering Punjabi University Guru Kashi Campus Talwandi Sabo-151302, Punjab, India

² Centre for Mathematics and Statistics School of Basic and Applied Sciences, Central University of Punjab, Bathinda-151001, Punjab, India

Abstract

Based on symbolic manipulation program Maple and using Riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient Broer-Kaup system in quite a straightforward manner. The known solutions of Riccati equation are used to construct new solutions for variable coefficient Broer-Kaup system.

Keywords