Table 2 A comparison of present study and existing literature.
Study | Model | Applied Techniques | Solutions achieved |
|---|---|---|---|
Present study | The Pure-cubic NLSE with third-order dispersion, Kerr law nonlinearity, self-steepening, and higher-order nonlinear effects. | Polynomial Method, Extended Hyperbolic Function Method, Tanh Method, Adomian Decomposition Method | Bright solitons, dark solitons, singular solitons, and phase portraits |
Akhmediev and Ankiewicz (1997)63 | The Cubic NLSE and its applications to optical pulses | Inverse scattering, exact ansatz, bifurcation theory | Pulse propagation, modulation instability |
Picozzi, A. (2014)64 | The general NLSE with Kerr law in optical turbulence context | Statistical mechanics, wave condensation | Rogue waves, incoherent solitons, spectral cascades |
Agrawal, G. P. (2019)65 | The Generalized NLSE with Kerr effect for optical fiber systems | Analytical and numerical, split-step Fourier | Soliton pulses, higher-order soliton formation |
Chen and Liu (2020)66 | The Optical solitons governed by Schrödinger-type equations with Kerr law | Sine-cosine, Tanh-sech, G’/G expansion | Bright, dark, periodic solitons |