An effective approach to numerical soliton solutions for the Schrödinger equation via modified cubic B-spline differential quadrature method
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DOI: 10.1016/j.chaos.2017.04.038
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References listed on IDEAS
- Twizell, E.H. & Bratsos, A.G. & Newby, J.C., 1997. "A finite-difference method for solving the cubic Schrödinger equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(1), pages 67-75.
- Dereli, Yılmaz & Irk, Dursun & Dağ, İdris, 2009. "Soliton solutions for NLS equation using radial basis functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1227-1233.
- Ömer Oruç & Alaattin Esen & Fatih Bulut, 2016. "A Haar wavelet collocation method for coupled nonlinear Schrödinger–KdV equations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(09), pages 1-16, September.
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Cited by:
- Mohammadi, Reza, 2018. "Smooth Quintic spline approximation for nonlinear Schrödinger equations with variable coefficients in one and two dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 204-215.
- Korkmaz, Alper, 2018. "Stability satisfied numerical approximates to the non-analytical solutions of the cubic Schrödinger equation," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 210-231.
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Keywords
Partial differential equations; Differential quadrature method; Strong stability-preserving Runge–Kutta; Modified Cubic B-splines; Schrödinger equation;All these keywords.
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