By means of the modified Darboux transformation we obtain some types of rogue waves in two-coupled nonlinear Schrodinger equations.Our results show that the two components admits the symmetry and asymmetry rogue wave ...By means of the modified Darboux transformation we obtain some types of rogue waves in two-coupled nonlinear Schrodinger equations.Our results show that the two components admits the symmetry and asymmetry rogue wave solutions,which arises from the joint action of self-phase,cross-phase modulation,and coherent coupling term.We also obtain the analytical transformation from the initial seed solution to unique rogue waves with the bountiful pair structure.In a special case,the asymmetry rogue wave can own the spatial and temporal symmetry gradually,which is controlled by one parameter.It is worth pointing out that the rogue wave of two components can share the temporal inversion symmetry.展开更多
Some results and developments on the extension of the inverse scattering transform to solve non-linear evolution equations in one time and two space dimensions are described.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11304270 and 61774001)the Key Project of Scientific and Technological Research of Hebei Province,China(Grant No.ZD2015133)+1 种基金the Construction Project of Graduate Demonstration Course of Hebei Province,China(Grant No.94/220079)the Natural Science Foundation of Hunan Province,China(Grant No.2017JJ2045)
文摘By means of the modified Darboux transformation we obtain some types of rogue waves in two-coupled nonlinear Schrodinger equations.Our results show that the two components admits the symmetry and asymmetry rogue wave solutions,which arises from the joint action of self-phase,cross-phase modulation,and coherent coupling term.We also obtain the analytical transformation from the initial seed solution to unique rogue waves with the bountiful pair structure.In a special case,the asymmetry rogue wave can own the spatial and temporal symmetry gradually,which is controlled by one parameter.It is worth pointing out that the rogue wave of two components can share the temporal inversion symmetry.
文摘Some results and developments on the extension of the inverse scattering transform to solve non-linear evolution equations in one time and two space dimensions are described.
