title: On a new semi-discrete integrable combination of Burgers and Sharma-Tasso-Olver equation.
abstract: In this paper, a new semi-discrete integrable combination of Burgers and Sharma-Tasso-Olver equation is investigated. The underlying integrable structures like the Lax pair, the infinite number of conservation laws, the Darboux-Bäcklund transformation, and the solutions are presented in the explicit form. The theory of the semi-discrete equation including integrable properties yields the corresponding theory of the continuous counterpart in the continuous limit. Finally, numerical experiments are provided to demonstrate the effectiveness of the developed integrable semi-discretization algorithms.
authors.affiliation: Department of Applied Mathematics, Shanghai University of International Business and Economics, 1900 Wenxiang Road, Shanghai 201620, People's Republic of China.
authors.forename: Hai-Qiong
authors.initials: HQ
authors.lastname: Zhao