Highly dispersive W-shaped and other optical solitons with quadratic-cubic nonlinearity: Symmetry analysis and new Kudryashov's method

Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic-cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of the governing partial differential equation to an ordinary differential equation, which is then integrated using an enhanced Kudryashov's approach to obtain solitons with the model. The analysis presented in this paper does not explicitly discuss the formation and dynamics of soliton radiation.

Automated summary

This paper utilizes Lie symmetry analysis to study the properties of highly dispersive optical solitons with quadratic-cubic self-phase modulation. By using Lie symmetry analysis, the governing partial differential equation is reduced to an ordinary differential equation, which is then integrated using an enhanced Kudryashov approach to obtain soliton solutions for the model. The analysis in this paper does not explicitly discuss the formation and dynamics of soliton radiation.