Authors
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Rafiqul Islam
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Kamruzzaman Khan
enhanced ôˆºô€œ©ô€"¢ô€ˆ€ô€œ©ôˆ»-expansion method, zk equation, complexiton soliton solutions, traveling wave solutions., enhanced -expansion method, traveling wave solutions
Abstract
In this article, an enhanced ( ′ /)-expansion method has been applied to find the traveling wave solutions of the (3+1)-dimensional Zakhrov-Kuznetsov (ZK) equation. The efficiency of this method for finding these exact solutions has been demonstrated. As a result, a set of complexiton soliton solutions are derived, which are expressed by the combinations of rational, hyperbolic and trigonometric functions involving several parameters. It is shown that the method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics.
Author Biographies
Rafiqul Islam
Kamruzzaman Khan is a Professor in the Department of Mathematics at Pabna University of Science and Technology (PUST), Bangladesh. He earned his Ph.D. in Mathematics from the University of New England, Australia, and an M.Phil in Mathematics from PUST. He also holds an M.Sc. and B.Sc. (Honours) in Applied Mathematics from the University of Rajshahi. His research focuses on nonlinear evolution equations, solitary wave solutions, and the application of the enhanced (G'/G)-expansion method. With over 68 publications, 1,666 citations, an h-index of 24, and an i10-index of 44, his work has made a significant impact in mathematical physics. He serves as a reviewer for the Global Journal of Science Frontier Research (GJSFR) and has contributed to the academic community through research and teaching. His academic IDs include ORCID, Scopus, Web of Science, ResearchGate, and Google Scholar profiles.
Kamruzzaman Khan
Kamruzzaman Khan is a Professor in the Department of Mathematics at Pabna University of Science and Technology (PUST), Bangladesh. He earned his Ph.D. in Mathematics from the University of New England, Australia, and an M.Phil in Mathematics from PUST. He also holds an M.Sc. and B.Sc. (Honours) in Applied Mathematics from the University of Rajshahi. His research focuses on nonlinear evolution equations, solitary wave solutions, and the application of the enhanced (G'/G)-expansion method. With over 68 publications, 1,666 citations, an h-index of 24, and an i10-index of 44, his work has made a significant impact in mathematical physics. He serves as a reviewer for the Global Journal of Science Frontier Research (GJSFR) and has contributed to the academic community through research and teaching. His academic IDs include ORCID, Scopus, Web of Science, ResearchGate, and Google Scholar profiles.
References
R. Hirota, J. Satsuma (1973) Soliton solutions of a coupled KDV equation. 14, 805-810.
M. Malfliet (1981) Solitary wave solutions of nonlinear wave equations. 60, 404-408.
