We consider the(2+1)-dimensional nonlinear Schrodinger equation with power-law nonlinearity under the parity-time-symmetry potential by using the Crank-Nicolson alternating direction implicit difference scheme,which c...We consider the(2+1)-dimensional nonlinear Schrodinger equation with power-law nonlinearity under the parity-time-symmetry potential by using the Crank-Nicolson alternating direction implicit difference scheme,which can also be used to solve general boundary problems under the premise of ensuring accuracy.We use linear Fourier analysis to verify the unconditional stability of the scheme.To demonstrate the effectiveness of the scheme,we compare the numerical results with the exact soliton solutions.Moreover,by using the scheme,we test the stability of the solitons under the small environmental disturbances.展开更多
文摘We consider the(2+1)-dimensional nonlinear Schrodinger equation with power-law nonlinearity under the parity-time-symmetry potential by using the Crank-Nicolson alternating direction implicit difference scheme,which can also be used to solve general boundary problems under the premise of ensuring accuracy.We use linear Fourier analysis to verify the unconditional stability of the scheme.To demonstrate the effectiveness of the scheme,we compare the numerical results with the exact soliton solutions.Moreover,by using the scheme,we test the stability of the solitons under the small environmental disturbances.
