研究目的
To study the logarithmic Schr?dinger equation, with and without a detuning term, and derive optical Gaussons for these logarithmic models using the variational iteration method.
研究成果
The variational iteration method was successfully applied to derive optical Gaussons solutions for the nonlinear logarithmic Schr?dinger equations, both with and without a detuning term. The solutions exhibit Gaussian shapes and propagate without soliton radiation through dispersion-managed optical fibers. The amplitude and width of the Gaussons were examined for various parameter values, showing that the detuning term affects the amplitude of the Gaussons.
研究不足
The study focuses on theoretical derivation and numerical illustration of Gaussons solutions for specific forms of the logarithmic Schr?dinger equation. The practical applicability and experimental validation of these solutions in real-world optical fiber systems are not discussed.
