Crank-Nicolson/finite element approximation for the Schrödinger equation in the de Sitter spacetime

On distinctive solitons type solutions for some important nonlinear Schrödinger equations

(2021) M. S. Osman et al.   OPTICAL AND QUANTUM ELECTRONICS

Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation

(2021) Ahmed S. Hendy et al.   NONLINEAR DYNAMICS

On the Analytical and Numerical Solutions of the Linear Damped NLSE for Modeling Dissipative Freak Waves and Breathers in Nonlinear and Dispersive Mediums: An Application to a Pair-Ion Plasma

(2021) S. A. El-Tantawy et al.   Frontiers in Physics

On the analytical and numerical solutions of the damped nonplanar Shamel Korteweg–de Vries Burgers equation for modeling nonlinear structures in strongly coupled dusty plasmas: Multistage homotopy perturbation method

(2021) S. A. El-Tantawy et al.   PHYSICS OF FLUIDS

On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme

(2020) Luis F. Muñoz-Pérez et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics

(2020) Alvaro H. Salas et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

New soliton solutions of the 2D‐chiral nonlinear Schrodinger equation using two integration schemes

(2020) Hamood Ur Rehman et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Mass- and energy-preserving exponential Runge–Kutta methods for the nonlinear Schrödinger equation

(2020) Jin Cui et al.   APPLIED MATHEMATICS LETTERS

An efficient dissipation–preserving Legendre–Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe

(2020) Mahmoud A. Zaky et al.   APPLIED NUMERICAL MATHEMATICS

Global existence of the self-interacting scalar field in the de Sitter universe

(2019) Karen Yagdjian   JOURNAL OF MATHEMATICAL PHYSICS

A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations

(2019) Ahmed S. Hendy et al.   Communications in Nonlinear Science and Numerical Simulation

Solution of multi-dimensional Klein–Gordon–Zakharov and Schrödinger/Gross–Pitaevskii equations via local Radial Basis Functions–Differential Quadrature (RBF–DQ) technique on non-rectangular computational domains

(2018) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential

(2018) Karen Yagdjian et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Numerical results for the Klein-Gordon equation in de Sitter spacetime

(2018) Harun Selvitopi et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

High-performance implementation of a Runge–Kutta finite-difference scheme for the Higgs boson equation in the de Sitter spacetime

(2018) Andras Balogh et al.   Communications in Nonlinear Science and Numerical Simulation

A semi-linear delayed diffusion-wave system with distributed order in time

(2017) A. S. Hendy et al.   NUMERICAL ALGORITHMS

Two-grid method for two-dimensional nonlinear Schrödinger equation by finite element method

(2017) Hanzhang Hu   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

(2015) A.H. Bhrawy et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On nonlinear Schrödinger equations derived from the nonrelativistic limit of nonlinear Klein–Gordon equations in de Sitter spacetime

(2015) Makoto Nakamura   JOURNAL OF DIFFERENTIAL EQUATIONS

Huygens' principle for the Klein-Gordon equation in the de Sitter spacetime

(2013) Karen Yagdjian   JOURNAL OF MATHEMATICAL PHYSICS

Global existence of the scalar field in de Sitter spacetime

(2012) Karen Yagdjian   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Solitary wave solutions for a higher order nonlinear Schrödinger equation

(2012) Houria Triki et al.   MATHEMATICS AND COMPUTERS IN SIMULATION