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Section B

Numerical solution of a coupled modified Korteweg–de Vries equation by the Galerkin method using quadratic B-splines

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Pages 2353-2371 | Received 01 Apr 2012, Accepted 07 Feb 2013, Published online: 10 Apr 2013

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R. C. Mittal & A. Tripathi. (2015) Numerical Solutions of Symmetric Regularized Long Wave Equations Using Collocation of Cubic B-splines Finite Element. International Journal for Computational Methods in Engineering Science and Mechanics 16:2, pages 142-150.
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Sirajul Haq, Shams Ul Arifeen & Ayesha Noreen. (2023) An efficient computational technique for higher order KdV equation arising in shallow water waves. Applied Numerical Mathematics 189, pages 53-65.
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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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Jingqun Wang, Lixin Tian, Boling Guo & Yingnan Zhang. (2020) Nonlinear stability of breather solutions to the coupled modified Korteweg-de Vries equations. Communications in Nonlinear Science and Numerical Simulation 90, pages 105367.
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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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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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M. S. Ismail & Farida Mosally. (2014) A Fourth Order Finite Difference Method for the Good Boussinesq Equation. Abstract and Applied Analysis 2014, pages 1-10.
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