Journal
PHYSICAL REVIEW E
Volume 80, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.026601
Keywords
ocean waves; optical fibre theory; optical self-focusing; Schrodinger equation
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We present a method for finding the hierarchy of rational solutions of the self-focusing nonlinear Schroumldinger equation and present explicit forms for these solutions from first to fourth order. We also explain their relation to the highest amplitude part of a field that starts with a plane wave perturbed by random small amplitude radiation waves. Our work can elucidate the appearance of rogue waves in the deep ocean and can be applied to the observation of rogue light pulse waves in optical fibers.
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