A four-component DNLS equation with novel solutions
In this paper,we propose an integrable four-component DNLS equation,and find that this equation has interesting solutions.For example,it has a soliton-rogue-wave-like solution,where there are two soliton-like components and two rogue-wave-like components.The most interesting of all,the two rogue-wave-like components decrease exponentially.This is very different from classical rogue waves,which are rational or semi-rational,and decrease at the speed of |x|-n.