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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2013 Volume 94, Issue 6, Pages 871–883 (Mi mzm9343)
This article is cited in 22 papers

Periodic Two-Phase “Rogue Waves”

A. O. Smirnov

Saint-Petersburg State University of Aerospace Instrumentation

Abstract: A family of periodic (in $x$ and $z$) two-gap solutions of the focusing nonlinear Schrödinger equation is constructed. A condition under which the two-gap solutions exhibit the behavior of periodic “rogue waves” is obtained.

Keywords: focusing nonlinear Schrödinger equation, “rogue wave,” periodic two-gap solution, multiphase solution, finite-gap integration, cycle basis, amplitude peak.

UDC: 517.957

Received: 24.04.2012
Revised: 16.01.2013

DOI: 10.4213/mzm9343


 English version: Mathematical Notes, 2013, 94:6, 897–907

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© Steklov Math. Inst. of RAS, 2025