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(2+1)-Dimensional Konopelchenko–Dubrovsky equation; modified extended direct algebraic method; travelling wave solution; Jacobi elliptic function

This work applies the modified extended direct algebraic method to construct some novel exact travelling wave solutions for the coupled (2 + 1)-dimensional Konopelchenko–Dubrovsky (KD) equation. Soliton, periodic, solitary wave, Jacobi elliptic function, new elliptic, Weierstrass elliptic function solutions and so on are obtained, which have several implementations in the field of applied sciences and engineering. In addition, we discuss the dynamics of some solutions like periodic, soliton and dark-singular combo soliton by their evolutionary shapes.

ALY R SEADAWY¹ DAVID YARO² DIANCHEN LU²

1. Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
2. Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, People’s Republic of China

Published

1 January 2020

Manuscript received

15 April 2019

Manuscript revised

4 September 2019

Accepted

24 September 2019

Early published

Unedited version published online

Final version published online

18 December 2019