This paper studies the propagation of dipole solitons in highly nonlocal medium by using the variational method. It finds that the dipole solitons will be stable when the input power obeys a restrict value. When the i...This paper studies the propagation of dipole solitons in highly nonlocal medium by using the variational method. It finds that the dipole solitons will be stable when the input power obeys a restrict value. When the incident power does not satisfy the stable conditions, the nonlocal accessible dipole solitons will undergo linear harmonic oscillation. It shows such evolution behaviours in detail.展开更多
We find and stabilize high-dimensional dipole and quadrupole solitons in nonlocal competing cubic-quintic nonlinear media.By adjusting the propagation constant,cubic,and quintic nonlinear coefficients,the stable inter...We find and stabilize high-dimensional dipole and quadrupole solitons in nonlocal competing cubic-quintic nonlinear media.By adjusting the propagation constant,cubic,and quintic nonlinear coefficients,the stable intervals for dipole and quadrupole solitons that are parallel to the x-axis and those after rotating 45°counterclockwise around the origin of coordinate are found.For the dipole solitons and those after rotation,their stability is controlled by the propagation constant,the coefficients of cubic and quintic nonlinearity.The stability of quadrupole solitons is controlled by the propagation constant and the coefficient of cubic nonlinearity,rather than the coefficient of quintic nonlinearity,though there is a small effect of the quintic nonlinear coefficient on the stability.Our proposal may provide a way to generate and stabilize some novel high-dimensional nonlinear modes in a nonlocal system.展开更多
We study two-dimensional （2D） matter-wave solitons in the mean-field models formed by electric quadrupole particles with long-range quadrupoleluadrupole interaction （QQI） in 2D free space. The existence of 2D matt...We study two-dimensional （2D） matter-wave solitons in the mean-field models formed by electric quadrupole particles with long-range quadrupoleluadrupole interaction （QQI） in 2D free space. The existence of 2D matter-wave solitons in the free space was predicted using the 2D Gross Pitaevskii Equation （GPE）. We find that the QQI solitoms have a higher mass （smaller size and higher intensity） and stronger anisotropy than the dipol^dipole interaction （DDI） solitons under the same environmental parameters. Anisotropic solitomsoliton interaction between two identical QQI solitons in 2D free space is studied. Moreover, stable anisotropic dipole solitons are observed, to our knowledge, for the first time in 2D free space under anisotropic nonlocal cubic nonlinearity.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 60677030 and 60808002)the Shanghai Committee of Science and Technology,China (Grant No. 08JC14097)the Shanghai Leading Academic Discipline Program(Grant No. S30105)
文摘This paper studies the propagation of dipole solitons in highly nonlocal medium by using the variational method. It finds that the dipole solitons will be stable when the input power obeys a restrict value. When the incident power does not satisfy the stable conditions, the nonlocal accessible dipole solitons will undergo linear harmonic oscillation. It shows such evolution behaviours in detail.
基金supported by the National Natural Science Foundation of China(12074343,11835011)the Natural Science Foundation of the Zhejiang Province of China(LZ22A050002)。
文摘We find and stabilize high-dimensional dipole and quadrupole solitons in nonlocal competing cubic-quintic nonlinear media.By adjusting the propagation constant,cubic,and quintic nonlinear coefficients,the stable intervals for dipole and quadrupole solitons that are parallel to the x-axis and those after rotating 45°counterclockwise around the origin of coordinate are found.For the dipole solitons and those after rotation,their stability is controlled by the propagation constant,the coefficients of cubic and quintic nonlinearity.The stability of quadrupole solitons is controlled by the propagation constant and the coefficient of cubic nonlinearity,rather than the coefficient of quintic nonlinearity,though there is a small effect of the quintic nonlinear coefficient on the stability.Our proposal may provide a way to generate and stabilize some novel high-dimensional nonlinear modes in a nonlocal system.
文摘We study two-dimensional （2D） matter-wave solitons in the mean-field models formed by electric quadrupole particles with long-range quadrupoleluadrupole interaction （QQI） in 2D free space. The existence of 2D matter-wave solitons in the free space was predicted using the 2D Gross Pitaevskii Equation （GPE）. We find that the QQI solitoms have a higher mass （smaller size and higher intensity） and stronger anisotropy than the dipol^dipole interaction （DDI） solitons under the same environmental parameters. Anisotropic solitomsoliton interaction between two identical QQI solitons in 2D free space is studied. Moreover, stable anisotropic dipole solitons are observed, to our knowledge, for the first time in 2D free space under anisotropic nonlocal cubic nonlinearity.
