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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 6-7
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Original Articles

On the rational solitary wave solutions for the nonlinear Hirota–Satsuma coupled KdV system

E. M. E Zayed Faculty of Science, Department of Mathematics, Zagazig University, EgyptCorrespondence[email protected]
,
A. M Abourabia Faculty of Science, Department of Mathematics, Menoufiya University, Egypt
,
Khaled A Gepreel Faculty of Science, Department of Mathematics, Zagazig University, Egypt
&
M. M.El Horbaty Faculty of Science, Department of Mathematics, Zagazig University, Egypt
Pages 751-768 | Received 26 Aug 2005, Accepted 14 Nov 2005, Published online: 28 Nov 2010

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Abdulghani Ragaa Alharbi & Mohammed Bakheet Almatrafi. (2020) New exact and numerical solutions with their stability for Ito integro-differential equation via Riccati–Bernoulli sub-ODE method. Journal of Taibah University for Science 14:1, pages 1447-1456.
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Elsayed M.E. Zayed, Taher A. Nofal & Khaled A. Gepreel. (2008) A series of complexiton soliton solutions for non-linear Hirota–Satsuma equations using the generalized multiple Riccati equations rational expansion method. Applicable Analysis 87:9, pages 987-1003.
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E.M.E. Zayed, Khaled A. Gepreel & M.M. El Horbaty. (2008) Exact solutions for some non-linear differential equations using complex hyperbolic function methods. Applicable Analysis 87:5, pages 509-522.
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Articles from other publishers (24)

Prakash Kumar Das. (2023) The interaction of three long shallow-water waves with different dispersion relations modeled by generalized Hirota–Satsuma KdV systems with some variable coefficients. Nonlinear Dynamics 111:22, pages 21259-21278.
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Mohammad Partohaghighi, Tukur A. Sulaiman, Abdullahi Yusuf, Mustafa Inc & Mustafa Bayram. (2023) New wave solutions, exact and numerical approximations to the nonlinear Klein–Gordon equation. International Journal of Modern Physics B 37:20.
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Hamood Ur Rehman, Aziz Ullah Awan, Ahmed M. Hassan & Shagufta Razzaq. (2023) Analytical soliton solutions and wave profiles of the (3+1)-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov equation. Results in Physics, pages 106769.
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Oke Davies Adeyemo, Chaudry Masood Khalique, Yusif S. Gasimov & Francesco Villecco. (2023) Variational and non-variational approaches with Lie algebra of a generalized (3 + 1)-dimensional nonlinear potential Yu-Toda-Sasa-Fukuyama equation in Engineering and Physics. Alexandria Engineering Journal 63, pages 17-43.
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Ayse Nur Akkılıc, Tukur Abdulkadir Sulaiman & Hasan Bulut. (2021) Applications of the extended rational sine-cosine and sinh-cosh techniques to some nonlinear complex models arising in mathematical physics. Applied Mathematics and Nonlinear Sciences 6:2, pages 19-30.
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M.B. Almatrafi, Abdulghani Ragaa Alharbi & Aly R. Seadawy. (2021) Structure of analytical and numerical wave solutions for the Ito integro-differential equation arising in shallow water waves. Journal of King Saud University - Science 33:3, pages 101375.
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Tukur Abdulkadir Sulaiman, Hasan Bulut & Haci Mehmet Baskonus. (2021) On the exact solutions to some system of complex nonlinear models. Applied Mathematics and Nonlinear Sciences 6:1, pages 29-42.
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Khaled A. Gepreel. (2020) Exact Soliton Solutions for Nonlinear Perturbed Schrödinger Equations with Nonlinear Optical Media. Applied Sciences 10:24, pages 8929.
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Abdulghani R. Alharbi, M.B. Almatrafi & Kh. Lotfy. (2020) Constructions of solitary travelling wave solutions for Ito integro-differential equation arising in plasma physics. Results in Physics 19, pages 103533.
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L. D. Moleleki, B. Muatjetjeja & A. R. Adem. (2016) Solutions and conservation laws of a (3+1)-dimensional Zakharov?Kuznetsov equation. Nonlinear Dynamics 87:4, pages 2187-2192.
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Md. Nur Alam & Cemil Tunc. (2016) An analytical method for solving exact solutions of the nonlinear Bogoyavlenskii equation and the nonlinear diffusive predator–prey system. Alexandria Engineering Journal 55:2, pages 1855-1865.
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Md. Nur Alam & Fethi Bin Muhammad Belgacem. (2016) New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation. Advances in Pure Mathematics 06:03, pages 168-179.
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Md. Nur Alam, M.G. Hafez, M. Ali Akbar & Harun-Or- Roshid. (2015) Exact traveling wave solutions to the (3+1)-dimensional mKdV–ZK and the (2+1)-dimensional Burgers equations via exp(−Φ(η))-expansion method. Alexandria Engineering Journal 54:3, pages 635-644.
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Md. Nur Alam. (2015) Exact solutions to the foam drainage equation by using the new generalized -expansion method . Results in Physics 5, pages 168-177.
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Harun-Or Roshid, Md Rashed Kabir, Rajandra Chadra Bhowmik & Bimal Kumar Datta. (2014) Investigation of Solitary wave solutions for Vakhnenko-Parkes equation via exp-function and Exp(−ϕ(ξ))-expansion method. SpringerPlus 3:1.
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M Ali Akbar & Norhashidah Hj Mohd Ali. (2014) Solitary wave solutions of the fourth order Boussinesq equation through the exp(–Ф(η))-expansion method. SpringerPlus 3:1.
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Md Nur Alam & M Ali Akbar. (2013) Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method. SpringerPlus 2:1.
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Khaled A. Gepreel, Taher A. Nofal & Fawziah M. Alotaibi. (2013) Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics. Abstract and Applied Analysis 2013, pages 1-10.
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Qing Hua Feng. (2011) Traveling Wave Solution of (3+1) Dimensional Potential-YTSF Equation by Bernoulli Sub-ODE Method. Advanced Materials Research 403-408, pages 212-216.
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Qing Hua Feng & Yu Lu Wang. (2011) Traveling Wave Solution of (2+1) Dimensional Breaking Soliton Equation by Bernoulli Sub-ODE Method. Advanced Materials Research 403-408, pages 207-211.
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Elsayed M. E. Zayed & Hanan M. Abdel Rahman. (2010) On using the modified variational iteration method for solving the nonlinear coupled equations in the mathematical physics. Ricerche di Matematica 59:1, pages 137-159.
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E.M.E. Zayed & Khaled A. Gepreel. (2009) Some applications of the -expansion method to non-linear partial differential equations. Applied Mathematics and Computation 212:1, pages 1-13.
Crossref
E.M.E. Zayed, Khaled A. Gepreel & M.M. El Horbaty. (2009) Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations. Chaos, Solitons & Fractals 40:1, pages 436-452.
Crossref
E. M. E. Zayed & Khaled A. Gepreel. (2009) The (G′/G)-expansion method for finding traveling wave solutions of nonlinear partial differential equations in mathematical physics. Journal of Mathematical Physics 50:1.
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