Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7154957 | Communications in Nonlinear Science and Numerical Simulation | 2017 | 13 Pages |
Abstract
The localization characters of the first-order rogue wave (RW) solution u of the Kundu-Eckhaus equation is studied in this paper. We discover a full process of the evolution for the contour line with height c2+d along the orthogonal direction of the (t, x)-plane for a first-order RW |u|2: A point at height 9c2 generates a convex curve for 3c2 ⤠d < 8c2, whereas it becomes a concave curve for 0 < d < 3c2, next it reduces to a hyperbola on asymptotic plane (i.e. equivalently d=0), and the two branches of the hyperbola become two separate convex curves when âc2
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Authors
Feng Yuan, Deqin Qiu, Wei Liu, K. Porsezian, Jingsong He,