Abstract:
Two-phase elliptic solution of the nonlinear Shrödinger equation is constructed. The conditions on the parameters for the periodic rogue wave solution are given. It is shown that degenerations of this solution lead to Akhmediev breather and to Peregrin soliton.
Key words and phrases:finite-gap solution, rogue wave, nonlinear Shrödinger equation, soliton, breather.
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