On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

Kannan Manikandan, Murugaian Senthilvelan () and Roberto André Kraenkel
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Kannan Manikandan: Centre for Nonlinear Dynamics, Bharathidasan University
Murugaian Senthilvelan: Centre for Nonlinear Dynamics, Bharathidasan University
Roberto André Kraenkel: Instituto de Física Teórica, Universidade Estadual Paulista

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 10, 1-11

Abstract: Abstract We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schrödinger equations into Manakov equation with a constraint that connects diffraction and gain parameters with nonlinearity parameter. We investigate the characteristics of the constructed vector rogue wave solutions with four different forms of diffraction parameters. We report some interesting patterns that occur in the rogue wave structures. Further, we construct vector dark rogue wave solutions of the two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2016-70420-0

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