Novel and reliable soliton solutions for nematicon liquid crystal models with various nonlinearities by the application of analytical method
摘要
In this work, the Kerr and Parabolic Law features of the equation characterizing nematic liquid crystals are taken into account in order to create trigonometric, hyperbolic and rational type travelling wave solutions utilizing the (G′/G2)-expansion method. The travelling wave solutions that are obtained from the equation play a crucial role in the energy transfer within the liquid crystal soliton molecules. Additionally, the solitary wave behaviors seen in the generated travelling wave solutions for various constant values are examined. Kink type soliton, singular kink soliton, singular soliton, periodic soliton, singular periodic soliton, double soliton, dark-bright W-type soliton and compacton are obtained as the travelling wave solutions of the equation defining nematic liquid crystals incorporating Kerr and Parabolic Law property.