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International Journal of Computer Mathematics Volume 81, 2004 - Issue 12
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The decomposition method for a Hirota–Satsuma coupled KdV equation and a coupled MKdV equation

K. R. Raslan
Pages 1497-1505 | Received 26 Jan 2004, Published online: 25 Jan 2007

Citations (13)

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Read on this site (2)

A. Krylovas & R. Kriauzienė. (2011) Asymptotical Analysis of Some Coupled Nonlinear Wave Equations. Mathematical Modelling and Analysis 16:1, pages 97-108.
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E. S. Fahmy, K. R. Raslan & H. A. Abdusalam. (2008) On the exact and numerical solution of the time-delayed Burgers equation. International Journal of Computer Mathematics 85:11, pages 1637-1648.
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Articles from other publishers (11)

H.M. Shahadat Ali, M.A. Habib, Md. Mamun Miah, M. Mamun Miah & M. Ali Akbar. (2023) Diverse solitary wave solutions of fractional order Hirota-Satsuma coupled KdV system using two expansion methods. Alexandria Engineering Journal 66, pages 1001-1014.
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Naser Azizi & Reza Pourgholi. (2022) Applications of Sine–Cosine wavelets method for solving the generalized Hirota–Satsuma coupled KdV equation. Mathematical Sciences.
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Chaudry Masood Khalique. (2021) Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics. Open Physics 19:1, pages 18-25.
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Rajarama Mohan Jena, Snehashish Chakraverty & Dumitru Baleanu. (2020) Solitary wave solution for a generalized Hirota-Satsuma coupled KdV and MKdV equations: A semi-analytical approach. Alexandria Engineering Journal 59:5, pages 2877-2889.
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Hadi Rezazadeh, Aly R. Seadawy, Mostafa Eslami & Mohammad Mirzazadeh. (2019) Generalized solitary wave solutions to the time fractional generalized Hirota-Satsuma coupled KdV via new definition for wave transformation. Journal of Ocean Engineering and Science 4:2, pages 77-84.
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Muhammad Jibran, Rashid Nawaz, Asfandyar Khan & Sajjad Afzal. (2018) Iterative Solutions of Hirota Satsuma Coupled KDV and Modified Coupled KDV Systems. Mathematical Problems in Engineering 2018, pages 1-18.
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Sumit Gupta, Devendra Kumar & Jagdev Singh. (2017) An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves. Waves, Wavelets and Fractals 3:1, pages 14-30.
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Laid Chahrazed & Rahmani Fouad Lazhar. (2013) Stability of a Delayed SIQRS Model with Temporary Immunity. Advances in Pure Mathematics 03:02, pages 240-245.
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E.S. Fahmy, H.A. Abdusalam & K.R. Raslan. (2008) On the solutions of the time-delayed Burgers equation. Nonlinear Analysis: Theory, Methods & Applications 69:12, pages 4775-4786.
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A. A. Soliman. (2008) Extended Improved tanh-Function Method for Solving the Nonlinear Physical Problems. Acta Applicandae Mathematicae 104:3, pages 367-383.
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A.H.A. Ali. (2007) The modified extended tanh-function method for solving coupled MKdV and coupled Hirota–Satsuma coupled KdV equations. Physics Letters A 363:5-6, pages 420-425.
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