研究目的
To study optical solitons with M-truncated and beta derivatives for the Complex Ginzburg-Landau equation (CGLE) with Kerr Law nonlinearity using two well-known integration schemes.
研究成果
The study successfully applies M-truncated and beta derivatives to derive optical solitons for the CGLE with Kerr Law nonlinearity using GTM and GBM. The derived solutions include singular-dark, dark, and singular-periodic solitons, with their physical features discussed. The effects of the derivatives on the solutions' behavior are highlighted, suggesting potential applications in nonlinear optics.
研究不足
The study is theoretical and does not involve empirical validation. The applicability of the derived soliton solutions in real-world optical systems may require further experimental verification.