Abstract
We explore the analytical chirped self-similar waves in a closed form for a generalized Schrödinger equation(GSE) with spatially modulated dispersion, gain, and inhomogeneous source. We show that this equation is appropriate for the description of pulse-propagation through asymmetric twin-core fiber. By utilizing group symmetry reduction, we map the non-autonomous GSE to an ordinary differential equation. Furthermore, by using Möbius transformation, we find periodic waves, solitary waves and pure cnoidal and pure snoidal solutions as exact solutions. As an application, we show that these waves are compressed to any degree as the length of the fiber tends to infinity for a dispersion decreasing fiber. Also, for a periodic distributed amplification system, we demonstrate the formation of bound-state similaritons.
© 2014 Optical Society of America
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