Nonautonomous "rogons" in the inhomogeneous nonlinear Schrödinger equation with variable coefficients

By Zhenya Yan. 2010

170 citations recorded by the source corpus.

Abstract The analytical nonautonomous rogons are reported for the inhomogeneous nonlinear Schrodinger equation with variable coefficients in terms of rational-like functions by using the similarity transformation and direct ansatz. These obtained solutions can be used to describe the possible formation mechanisms for optical, oceanic, and matter rogue wave phenomenon in optical fibres, the deep ocean, and Bose–Einstein condensates, respectively. Moreover, the snake propagation traces and the fascinating interactions of two nonautonomous rogons are generated for the chosen different parameters. The obtained nonautonomous rogons may excite the possibility of relative experiments and potential applications for the rogue wave phenomenon in the field of nonlinear science.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/82c51e0a4735f830a84025487c18f80a5471fe31

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Roadmap on optical rogue waves and extreme events (2016, background): “It is well known that the dynamics of ABs is strongly affected in the presence of varying dispersion and/or nonlinearity [153, 200].”
Solitons in nonlinear lattices (2010, background): “nonlinearity coefficient and linear potentials, for which exact solutions can be found by means of direct substitutions (Belmonte-Beitia, Konotop, Pérez-García, and Vekslerchik, 2009; Yan and Konotop, 2009; Yan, 2010). Very recently, similar approaches, which allow one to transform one-dimensional N”