TY - JOUR
T1 - Rogue wave triplets
AU - Ankiewicz, Adrian
AU - Kedziora, David J.
AU - Akhmediev, Nail
PY - 2011/7/11
Y1 - 2011/7/11
N2 - We consider the family of 2nd order rogue wave rational solutions of the nonlinear Schrödinger equation (NLSE) with two free parameters. Surprisingly, these solutions describe a formation consisting of 3 separate first order rogue waves, rather than just two. We show that the 3 components of the triplet are located on an equilateral triangle, thus maintaining a certain symmetry in the solution, even in its decomposed form. The two free parameters of the family define the size and orientation of the triangle on the (x,t) plane.
AB - We consider the family of 2nd order rogue wave rational solutions of the nonlinear Schrödinger equation (NLSE) with two free parameters. Surprisingly, these solutions describe a formation consisting of 3 separate first order rogue waves, rather than just two. We show that the 3 components of the triplet are located on an equilateral triangle, thus maintaining a certain symmetry in the solution, even in its decomposed form. The two free parameters of the family define the size and orientation of the triangle on the (x,t) plane.
UR - http://www.scopus.com/inward/record.url?scp=79959377427&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2011.05.047
DO - 10.1016/j.physleta.2011.05.047
M3 - Article
SN - 0375-9601
VL - 375
SP - 2782
EP - 2785
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 28-29
ER -