Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches
DOI10.1134/S0965542521090025zbMath1478.78053OpenAlexW3193498912MaRDI QIDQ2245907
Abdullah Kamis Alzahrani, Milivoj R. Belic, Mohamed A. Abdelkawy, Anjan Biswas, Samer S. Ezz-Eldien
Publication date: 15 November 2021
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542521090025
collocation methodChen-Lee-Liu equationshifted Jacobi-Gauss-Lobatto quadratureshifted Jacobi-Gauss-Radau quadrature
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)
Cites Work
- Unnamed Item
- Generalized Darboux transformation and rational soliton solutions for Chen-Lee-Liu equation
- A review of operational matrices and spectral techniques for fractional calculus
- Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
- A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations
- A stabilized cut streamline diffusion finite element method for convection-diffusion problems on surfaces
- A fitted operator finite difference method of lines for singularly perturbed parabolic convection-diffusion problems
- Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems
- Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations
- Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations
- A finite difference method with meshless interpolation for incompressible flows in non-graded tree-based grids
- Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of \((2n + 1)\)th-order linear differential equations
- Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation
- A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
- Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
- A local and parallel Uzawa finite element method for the generalized Navier-Stokes equations
- A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces
- Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
- Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations
- Combined optical solitary waves of the Fokas—Lenells equation
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