Study of Nonlinear Evolution Equations in Mathematical Physics

Kamruzzaman Khan

Authors

Kamruzzaman Khan

bernoulli sub-ode method, the konopelchenko-dubrovsky coupled system equation, the (1+1)- dimensional nonlinear ostrovsky equation, traveling wave, so

Abstract

In the present paper, we construct the traveling wave solutions involving parameters for some nonlinear evolution equations in the mathematical physics via the Konopelchenko-Dubrovsky Coupled System equation and the (1+1)-dimensional nonlinear Ostrovsky equation by using the Bernoulli Sub-ODE method. By using this method exact solutions involving parameters have been obtained. When the parameters are taken as special values, solitary wave solutions have been originated from the hyperbolic function solutions. It has been shown that the method is effective and can be used for many other NLEEs in mathematical physics.

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Study of Nonlinear Evolution Equations in Mathematical Physics. (2013). Global Journal of Science Frontier Research, 13(40), 45-53. https://journalofscience.org/index.php/GJSFR/article/view/103243

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Author Biography

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.

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