TY - JOUR
T1 - Waves that appear from nowhere and disappear without a trace
AU - Akhmediev, N.
AU - Ankiewicz, A.
AU - Taki, M.
PY - 2009/2/2
Y1 - 2009/2/2
N2 - The title (WANDT) can be applied to two objects: rogue waves in the ocean and rational solutions of the nonlinear Schrödinger equation (NLSE). There is a hierarchy of rational solutions of 'focussing' NLSE with increasing order and with progressively increasing amplitude. As the equation can be applied to waves in the deep ocean, the solutions can describe "rogue waves" with virtually infinite amplitude. They can appear from smooth initial conditions that are only slightly perturbed in a special way, and are given by our exact solutions. Thus, a slight perturbation on the ocean surface can dramatically increase the amplitude of the singular wave event that appears as a result.
AB - The title (WANDT) can be applied to two objects: rogue waves in the ocean and rational solutions of the nonlinear Schrödinger equation (NLSE). There is a hierarchy of rational solutions of 'focussing' NLSE with increasing order and with progressively increasing amplitude. As the equation can be applied to waves in the deep ocean, the solutions can describe "rogue waves" with virtually infinite amplitude. They can appear from smooth initial conditions that are only slightly perturbed in a special way, and are given by our exact solutions. Thus, a slight perturbation on the ocean surface can dramatically increase the amplitude of the singular wave event that appears as a result.
UR - http://www.scopus.com/inward/record.url?scp=58149490756&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2008.12.036
DO - 10.1016/j.physleta.2008.12.036
M3 - Article
SN - 0375-9601
VL - 373
SP - 675
EP - 678
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 6
ER -