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Mathematical Modelling and Analysis Volume 18, 2013 - Issue 1
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Original Articles

A Quadratic B-Spline Galerkin Approach for Solving a Coupled KdV Equation

Selcuk Kutluay Faculty of Arts and Sciences, İnönü University, 44280, Malatya, Turkey
&
Yusuf Ucar Faculty of Arts and Sciences, İnönü University, 44280, Malatya, TurkeyCorrespondence[email protected]
Pages 103-121 | Received 15 Apr 2012, Accepted 14 Dec 2012, Published online: 29 Jan 2013

Citations (12)

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Read on this site (1)

Weifang Yan, Zhengrong Liu & Yong Liang. (2014) Existence of Solitary Waves and Periodic Waves to a Perturbed Generalized KdV Equation. Mathematical Modelling and Analysis 19:4, pages 537-555.
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Articles from other publishers (11)

Navneet Kaur & Varun Joshi. (2022) Numerical Solution of Coupled Korteweg-de Vries Equation Employing Quintic Hyperbolic B-Spline Based Differential Quadrature Method. International Journal of Applied and Computational Mathematics 9:1.
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Navneet Kaur & Varun Joshi. (2022) Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method. Journal of Mathematical Analysis and Applications 514:2, pages 126355.
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Soyoon Bak. (2022) A mixed approximate method to simulate generalized Hirota–Satsuma coupled KdV equations. Computational and Applied Mathematics 41:3.
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Ali Başhan. (2020) An effective approximation to the dispersive soliton solutions of the coupled KdV equation via combination of two efficient methods. Computational and Applied Mathematics 39:2.
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Ali Başhan. (2019) A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: Finite difference method and differential quadrature method. Applied Mathematics and Computation 360, pages 42-57.
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Nuri Murat Yagmurlu, Berat Karaagac & Alaattin Esen. (2019) A Lumped Galerkin finite element method for the generalized Hirota-Satsuma coupled KdV and coupled MKdV equations. Tbilisi Mathematical Journal 12:3.
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Azhar Iqbal, Nur Nadiah Abd Hamid & Ahmad Izani Md. Ismail. (2019) Numerical Solution of Nonlinear Schrödinger Equation with Neumann Boundary Conditions Using Quintic B-Spline Galerkin Method. Symmetry 11:4, pages 469.
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Rui Guo, Jiang-Yan Song, Hong-Tao Zhang & Feng-Hua Qi. (2018) Soliton solutions, conservation laws and modulation instability for the discrete coupled modified Korteweg–de Vries equations. Modern Physics Letters B 32:14, pages 1850152.
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Halil Zeybek & S. Battal Gazi Karakoç. (2016) A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline. SpringerPlus 5:1.
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Guang-Ri Piao & Hyung-Chun Lee. (2015) Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation by a Reduced-Order Model. East Asian Journal on Applied Mathematics 5:1, pages 61-74.
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M. S. Ismail & H. A. Ashi. (2014) A Numerical Solution for Hirota-Satsuma Coupled KdV Equation. Abstract and Applied Analysis 2014, pages 1-9.
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