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

Details Nonautonomous "rogons" in the inhomogeneous nonlinear Schrodinger equation with variable coefficients Nonautonomous "rogons" in the inhomogeneous nonlinear Schrodinger equation with variable coefficients

2010-09-20

arxiv.org/abs/1009.3731v1

Phys. Lett. A, 374 (2010) 672

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, 6 figures

Scientific paper

The analytical nonautonomous rogons are reported for the inhomogeneous nonlinear Schr\"odinger 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.

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