Simple determinant representation for rogue waves of the nonlinear Schrödinger equation.
We present a simple representation for arbitrary-order rogue wave solution and a study on the trajectories of them explicitly. We find that the trajectories of two valleys on whole temporal-spatial distribution all look "X" -shaped for rogue waves. Additionally, we present different types of high-order rogue wave structures, which could be helpful towards realizing the complex dynamics of rogue waves.
Department of Mathematics, South China University of Technology, Guangzhou 510640, China.
Liming
L
Ling
Li-Chen
LC
Zhao