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Propagation of nonlinear waves with a weak dispersion via coupled (2 + 1)-dimensional Konopelchenko–Dubrovsky dynamical equation
ALY R SEADAWY DAVID YARO DIANCHEN LU
Research Article Volume 94 Published: 1 January 2020 Article ID 0017
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https://www.ias.ac.in/article/fulltext/pram/094/0017 -
Keywords
(2+1)-Dimensional Konopelchenko–Dubrovsky equation ;modified extended direct algebraic method ;travelling wave solution ;Jacobi elliptic function -
Abstract
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.
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Author Affiliations
ALY R SEADAWY1 DAVID YARO2 DIANCHEN LU2
- Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
- Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, People’s Republic of China
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Dates
- 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
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Pramana – Journal of Physics
Volume 95, 2021
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