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Akademický článek

An investigation of two integro-differential KP hierarchy equations to find out closed form solitons in mathematical physics

Autor: M. Ashik Iqbal, M. Mamun Miah, Md Mamunur Rasid, Hashim M. Alshehri, M. S. Osman

Publikováno v: Arab Journal of Basic and Applied Sciences, Vol 30, Iss 1, Pp 535-545 (2023)

AbstractNonlinear partial differential equations (NLPDEs) are widely utilized in engineering and physical research to represent many physical processes of naturalistic occurrences. In this paper, we investigate two well-known NLPDEs, namely, the (2 +

Externí odkaz: https://doaj.org/article/c295ce2fc64f4b618d857768232d4106

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Akademický článek

Exploring New Traveling Wave Solutions to the Nonlinear Integro-Partial Differential Equations with Stability and Modulation Instability in Industrial Engineering

Autor: J. R. M. Borhan, I. Abouelfarag, K. El-Rashidy, M. Mamun Miah, M. Ashik Iqbal, Mohammad Kanan

Publikováno v: Computation, Vol 12, Iss 8, p 161 (2024)

In this research article, we demonstrate the generalized expansion method to investigate nonlinear integro-partial differential equations via an efficient mathematical method for generating abundant exact solutions for two types of applicable nonline

Externí odkaz: https://doaj.org/article/a6ea699b4d2c4af8a31761a25c0227a6

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Akademický článek

New applications of the fractional derivative to extract abundant soliton solutions of the fractional order PDEs in mathematics physics

Autor: M. Ashik Iqbal, M. Mamun Miah, H. M. Shahadat Ali, Nur Hasan Mahmud Shahen, Ahmed Deifalla

Publikováno v: Partial Differential Equations in Applied Mathematics, Vol 9, Iss , Pp 100597- (2024)

The motive of this research work is to unravel the mysteries of nature through fractional-order partial differential equations (PDEs). Here, we focus on two important fractional order nonlinear PDEs, namely the fractional order (4+1)-dimensional Foka

Externí odkaz: https://doaj.org/article/8867eba86b3c4d19917ba85bd891ad38

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Akademický článek

New investigation of the analytical behaviors for some nonlinear PDEs in mathematical physics and modern engineering

Autor: Abdul Hamid Ganie, Lamiaa H. Sadek, M.M. Tharwat, M. Ashik Iqbal, M. Mamun Miah, Md Mamunur Rasid, Nasser S. Elazab, M.S. Osman

Publikováno v: Partial Differential Equations in Applied Mathematics, Vol 9, Iss , Pp 100608- (2024)

Numerous complex situations arising from science and engineering are modeled by integral-differential equations (IDEs). Examples of these situations include mathematical modeling of infectious diseases, epidemics, circuit analysis, voltage drop equat

Externí odkaz: https://doaj.org/article/d62836e39f8440ad90517d5b1fb94276

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Akademický článek

New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G,1/G-expansion method

Autor: M. Ashik Iqbal, Dumitru Baleanu, M. Mamun Miah, H.M. Shahadat Ali, Hashim M. Alshehri, M.S. Osman

Publikováno v: Results in Physics, Vol 47, Iss , Pp 106391- (2023)

In the electrical transmission lines, the processing of cable signals distribution, computer networks, high-speed computer databases and discrete networks can be investigated by the modified Zakharov-Kuznetsov (mZK) equation as a data link propagatio

Externí odkaz: https://doaj.org/article/a8a4398bd43e46c7a5f3752467cbb863

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