Numerical Simulation of Coupled Nonlinear Schrödinger Equations Using the Generalized Differential Quadrature Method
R. Mokhtari1**, A. Samadi Toodar2, N. G. Chegini2
1Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran 2Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran
Numerical Simulation of Coupled Nonlinear Schrödinger Equations Using the Generalized Differential Quadrature Method
R. Mokhtari1**, A. Samadi Toodar2, N. G. Chegini2
1Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran 2Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran
摘要We the extend application of the generalized differential quadrature method (GDQM) to solve some coupled nonlinear Schrödinger equations. The cosine-based GDQM is employed and the obtained system of ordinary differential equations is solved via the fourth order Runge–Kutta method. The numerical solutions coincide with the exact solutions in desired machine precision and invariant quantities are conserved sensibly. Some comparisons with the methods applied in the literature are carried out.
Abstract：We the extend application of the generalized differential quadrature method (GDQM) to solve some coupled nonlinear Schrödinger equations. The cosine-based GDQM is employed and the obtained system of ordinary differential equations is solved via the fourth order Runge–Kutta method. The numerical solutions coincide with the exact solutions in desired machine precision and invariant quantities are conserved sensibly. Some comparisons with the methods applied in the literature are carried out.
R. Mokhtari**;A. Samadi Toodar;N. G. Chegini
. Numerical Simulation of Coupled Nonlinear Schrödinger Equations Using the Generalized Differential Quadrature Method[J]. 中国物理快报, 2011, 28(2): 20202-020202.
R. Mokhtari**, A. Samadi Toodar, N. G. Chegini
. Numerical Simulation of Coupled Nonlinear Schrödinger Equations Using the Generalized Differential Quadrature Method. Chin. Phys. Lett., 2011, 28(2): 20202-020202.
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