On the solution of time-fractional KdV–Burgers equation using Petrov–Galerkin method for propagation of long wave in shallow water
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DOI: 10.1016/j.chaos.2018.09.046
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References listed on IDEAS
- Wang, Qi, 2008. "Homotopy perturbation method for fractional KdV-Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 843-850.
- Helal, M.A. & Mehanna, M.S., 2006. "A comparison between two different methods for solving KdV–Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 320-326.
- Odibat, Zaid M., 2009. "Exact solitary solutions for variants of the KdV equations with fractional time derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1264-1270.
- Gupta, A.K. & Saha Ray, S., 2017. "On the solitary wave solution of fractional Kudryashov–Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 1-12.
- Seyma Tuluce Demiray & Yusuf Pandir & Hasan Bulut, 2014. "Generalized Kudryashov Method for Time-Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, July.
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Cited by:
- Kudryashov, Nikolay A., 2021. "Generalized Hermite polynomials for the Burgers hierarchy and point vortices," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
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Keywords
26A33; 35G25; 35R11; 35Q35; 42C40;All these keywords.
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