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Modified Integral Transform for Solving Benney-Luke and Singular Pseudo-Hyperbolic Equations

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Purobi RK, Hassan A, Md Rezwan Ahamed F, Md Ekramul I, M Ali A, MS Osman. Linear and nonlinear effects analysis on wave profiles in optics and quantum physics. Results in Physics. 2021 (23). 103995,ISSN 2211-3797, https://doi.org/10.1016/j.rinp.2021.103995 Search in Google Scholar

SM Rayhanul I, Kumar D, Fendzi-Donfack E., M. Inc. Impacts of nonlinearity and wave dispersion parameters on the soliton pulses of the (2+1)-dimensional Kundu–Mukherjee–Naskar equation. 2022; 68(6). Search in Google Scholar

SM Rayhanul I, Wang H. Some analytical soliton solutions of the nonlinear evolution equations, Journal of Ocean Engineering and Science. 2022. Search in Google Scholar

Ahmadi Z, Haghighi M, Validi Z. A Novel Approach for Energy Optimization in Distributed Databases in Wireless Network Applications. Journal of Management and Accounting Studies. 2020; 8(3). Search in Google Scholar

Mirsharafeddin S. A Bi-Objective Optimization of Portfolio Risk Response Strategies in Oil and Gas Projects.” Journal of Research in Science, Engineering and Technology. 2020; 8(4):1-18. Search in Google Scholar

TakamTakougang EM, Mohammed YA, Bouzidi Y, Bouchaala F, Sultan AA, Mohamed AI. Characterization of a carbonate reservoir using elastic full-waveform inversion of vertical seismic profile data. Geophysical Prospecting. 2020; 68(6): 1944-1957. Search in Google Scholar

Bouchaala F, Ali MY, Matsushima J; Bouzidi Y, TakamTakougang EM, Mohamed AI, Sultan A. Azimuthal investigation of compressional seismic-wave attenuation in a fractured reservoir Seismic wave attenuation anisotropy. Geophysics. 2019; 84(6): B437-B446. Search in Google Scholar

Biazar J, Ghazvini H. He’svariational iteration method for solving linear and non-linear systems of ordinary differential equations, Appl. Math. Comput. 2007; 191: 287-297. Search in Google Scholar

He JH. Variational iteration method for delay differential equations, Commun. Nonlinear Sci. Numer. Simul.1997; 2 (4):235–236. Search in Google Scholar

He JH. Variational iteration method—a kind of non-linear analytical technique: some examples, Int. J. Nonlinear Mech. 1999; 34: 699-708. Search in Google Scholar

He JH. Variational iteration method for autonomous ordinary differential systems, Appl. Math. Comput. 2000; 114:115-123. Search in Google Scholar

He JH, Wu XH. Variational iteration method: new development and applications, Comput. Math. Appl. 2007; 54:881-894. Search in Google Scholar

Khuri SA, Sayfy A. A Laplace variational iteration strategy for the solution of differential equations, Applied Mathematics Letters. 2012; 25:2298-2305. Search in Google Scholar

Elzaki TM. Application of Projected Differential Transform Method on Nonlinear Partial Differential Equations with Proportional Delay in One Variable, World Applied Sciences Journal. 2014; 30(3):345-349. Search in Google Scholar

Elzaki TM, Elzaki SM. On the Connections Between Laplace and Elzaki Transforms. Advances in Theoretical and Applied Mathematics. ISSN 0973-4554. 2011; (6)1: 1-11. Search in Google Scholar

Dhunde RR, Waghmare GL. On Some Convergence Theorems of Double Laplace Transform, Journal of Informatics and Mathematical Sciences. 2014; 6(1): 45-54. Search in Google Scholar

Wu GC, Baleanu D. Variational iteration method for fractional calculus - a universal approach by Laplace transform. Advances in Difference Equations. 2013; 18-27. Search in Google Scholar

Wu GC. Variational iteration method for solving the time-fractional diffusion equations in porous medium. Chin. Phys. 2012; 21:120504. Search in Google Scholar

Wu GC, Baleanu D. Variational iteration method for the Burgers’ flow with fractional derivatives-New Lagrange multipliers. Applied Mathematical Modelling. 2012; 37: 6183–6190. Search in Google Scholar

Wu GC. Challenge in the variational iteration method-a new approach to identification of the Lagrange multipliers. Journal of King Saud University-Science. 2013; 25:175-178. Search in Google Scholar

Islam Z, Hossain MM, Sheikh MA. Exact Traveling Wave Solutions to Benney- Luke Equation. GANIT: Journal of Bangladesh Mathematical Society. 2018; 37: 1-14. Search in Google Scholar

Alderremy AA, Elzaki TM. On the new double integral transform for solving singular system of hyperbolic equations, Available online at www.isr-publications.com/jnsa J. Nonlinear Sci. Appl. 2018; 11: 1207-1214. Search in Google Scholar

Mohamed M, Amjad H, Elzaki T, Mohamed A, Shiraz E. Solution of Fractional Heat-Like and Fractional Wave-Like Equation by Using Modern Strategy. Acta Mechanica et Automatica. 2023; 17(3): 372-380. https://doi.org/10.2478/ama-2023-0042 Search in Google Scholar

Elzaki TM, Eman MA Hilal. Solution of Telegraph Equation by Modified of Double Sumudu Transform “Elzaki Transform”. Mathematical Theory and Modeling. ISSN 2224-5804 (Paper) ISSN 2225-0522 (Online). 2012; 2(4): 95-103. Search in Google Scholar

Gündogdu H, Gözükızıl OF. Obtaining the solution of Benney-Luke Equation by Laplace and ado-mian decomposition methods. SAUJS. 2017; 21: 1524-1528. Search in Google Scholar