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

• Autor(a) principal: Manikandan, Kannan
• Data de Publicação: 2016
• Outros Autores: Senthilvelan, Murugaian, Kraenkel, Roberto Andre [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1140/epjb/e2016-70420-0; http://hdl.handle.net/11449/162038

We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schrodinger 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 Schrodinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions.