摘要
In this paper, the generalized Darboux transformation is constructed to variable coefficient nonlinear Schrdinger(NLS) equation. The N-th order rogue wave solution of this variable coefficient NLS equation is obtained by determinant expression form. In particular, we present rogue waves from first to third-order through some figures and analyze their dynamics.
In this paper, the generalized Darboux transformation is constructed to variable coefficient nonlinear Schrdinger(NLS) equation. The N-th order rogue wave solution of this variable coefficient NLS equation is obtained by determinant expression form. In particular, we present rogue waves from first to third-order through some figures and analyze their dynamics.
基金
Supported by the Hujiang Foundation of China under Grant No.B14005
the National Natural Science Foundation of China under Grant No.11071164
the Innovation Program of Shanghai Municipal Education Commission under Grant Nos.12YZ105 and 13ZZ118
the Shanghai Leading Academic Discipline Project under Grant No.XTKX2012
the Foundation of University Young Teachers Training Program of Shanghai Municipal Education Commission under Grant No.slg11029
the Natural Science Foundation of Shanghai under Grant No.12ZR1446800
Science and Technology Commission of Shanghai municipality and the National Natural Science Foundation of China under Grant Nos.11201302 and 11171220
