
...in this paper, two conservative difference schemes for solving a coupled nonlinear schrödinger (cnls) system are numerically analyzed. firstly, a nonlinear implicit twolevel finite difference scheme for cnls system is studied, then a linear threelevel difference scheme for cnls system is presented. an induction argument...

...3cnls equation is studied for analytical and numerical purposes. a new sixpoint scheme which is equivalent to the...cases by multisymplectic sixpoint scheme. different kinds of evolutions are observed for different parameters and coefficients of the system. numerical results show that, the...

...in this paper, three numerical schemes with high accuracy for the coupled schrödinger equations are studied. the conservative
properties of the schemes are obtained and the plane...the split step rungekutta scheme is conditionally
stable by linearized analyzed. the split step compact scheme and the split step spectral...

...in the paper, the coupled 1d nonlinear schrödinger system (cnls) is considered as the model equation for wavewave interaction
in ionic media. a finite difference scheme is derived for the model equations. a new sixpoint scheme, which is equivalent
to the...

...systems of coupled nonlinear schrödinger equations with soliton solutions are integrated using the sixpoint scheme which is equivalent to the multisymplectic preissman scheme. the numerical dispersion relations are studied for the linearized equation. numerical results for elastic and inelastic soliton collisions...

...a new sixpoint scheme of the coupled nonlinear schrödinger (cnls) system is derived from the symplectic scheme to study the collision behaviors of soliton waves. we prove that the new sixpoint scheme preserves the square conservation, which matches the square conservation of the cnls system. numerical experiments show that the...

...this article describes a finite difference scheme which is linearly uncoupled in computation for a nonlinearly coupled schrödinger system. this numerical scheme is proved to preserve the original conservative properties. using the discrete energy analysis method, we also prove that the scheme is unconditionally stable and second...

...multisymplectic formulation of the coupled 1d nonlinear schrödinger system (cnls) is considered. for the multisymplectic formulation, a new six point scheme, which is equivalent to the...show that the multisymplectic scheme has excellent longtime numerical behaviour and energy conservation property....

...this paper, we present three new schemes for the coupled nonlinear schrödinger equation. the three new schemes are multisymplectic schemes that preserve the intrinsic geometry property of the equation. the three new schemes are also semiexplicit in...

...in this paper a detailed derivation and numerical solutions of coupled nonlinear schrödinger equations for pulses of polarized
electromagnetic waves...space of an explicit finitedifference scheme for the coupled nonlinear schrödinger equations and those estimations are used
for an implicit scheme. to test our hypothesis we...