Theoretical and Mathematical Physics

, Volume 173, Issue 1, pp 1403–1416 | Cite as

Solution of a nonlinear Schrödinger equation in the form of two-phase freak waves

  • A. O. SmirnovEmail author


We construct a family of two-gap solutions of the focusing nonlinear Schrödinger equation and derive a condition under which the solutions behave as the so-called freak waves located at the nodes of a two-dimensional lattice. We also study how the lattice parameters depend on the parameters of the spectral curve.


rogue wave freak wave nonlinear Schrödinger equation theta function reduction covering 


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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.St. Petersburg State University of Aerospace InstrumentationSt. PetersburgRussia

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