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This article is cited in 5 scientific papers (total in 5 papers)
Partial Differential Equations
Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches
M. A. Abdelkawyab, S. S. Ezz-Eldiencd, Anjan Biswasefgh, A. Kamis Alzahranif, M. R. Belici a Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
b Department of Mathematics, Faculty of Science, Beni-Suef University,
Beni-Suef, Egypt
c Nanjing Normal Univ., Sch. Math. Sci., Jiangsu Key Lab NSLSCS, 210023, Nanjing, Jiangsu, China
d New Valley Univ., Dept Math, Fac. Sci., 72511, Kharga, Egypt
e Department of Physics, Chemistry and Mathematics, Alabama A&M University, 35762-4900, Normal, AL, USA
f Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
g Department of Applied Mathematics, National Research Nuclear University, 115409, Moscow, Russia
h Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, 0204, Pretoria, South Africa
i Science Program, Texas A&M University at Qatar
P.O. Box 23874, Doha, Qatar
Abstract:
This paper revisits the study of optical solitons that is governed by one of the three forms of derivative nonlinear Schrödinger's equation that is also known as Chen–Lee–Liu model. This model is investigated by the aid of fully shifted Jacobi’s collocation method with two independent approaches. The first is discretization of the spatial variable, while the other is discretization of the temporal variable. It is concluded that the method of the current paper is far more efficient and reliable for the considered model. Numerical results illustrate the performance efficiency of the algorithm. The results also point out that the scheme can lead to spectral accuracy of the studied model.
Key words:
Chen–Lee–Liu equation, collocation method, shifted Jacobi–Gauss–Lobatto quadrature, shifted Jacobi–Gauss–Radau quadrature.
Received: 12.05.2020 Revised: 12.05.2020 Accepted: 12.05.2021
Citation:
M. A. Abdelkawy, S. S. Ezz-Eldien, Anjan Biswas, A. Kamis Alzahrani, M. R. Belic, “Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021), 1464; Comput. Math. Math. Phys., 61:9 (2021), 1432–1443
Linking options:
https://www.mathnet.ru/eng/zvmmf11288 https://www.mathnet.ru/eng/zvmmf/v61/i9/p1464
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