New shape of the chirped bright, dark optical solitons and complex solutions for(2+1)-dimensional Ginzburg-Landau equation and modulation instability analysis

• A. Houwe ^[1] ; M. Inc ^[2] ; D. Baleanu ^[3] ; H. Rezazadeh ^[5] ; S.Y. Doka ^[4]
  1. [1] University of Maroua

     University of Maroua

     Camerún

     
  2. [2] Biruni University

     Biruni University

     Turquía

     
  3. [3] Çankaya University

     Çankaya University

     Turquía

     
  4. [4] University of Ngaoundéré

     University of Ngaoundéré

     Camerún

     
  5. [5] Amol University of Special Modern Technologies, Amol, Iran

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• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 67, Nº. 4, 2021, págs. 503-507
• Idioma: inglés
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• Resumen

  • The investigation of the Ginzburg-Landau equation (GLE) has been done to find out and investigate new chirped bright, dark periodic andsingular function solutions. For this purpose, we have used the traveling wave hypothesis and the chirp component. From there it was pointedout the constraint relation to the different arbitrary parameters of the GLE. Thereafter, we have employed the improved sub-ODE method tohandle the nonlinear ordinary differential equation (NODE). In the paper, the virtue of the used analytical method has been highlighted vianew chirped solitary waves. Besides, to emphasize the confrontation between the nonlinearity and dispersion terms, we have investigatedthe steady state of the newly obtained results. It has been obtained the Modulation instability (MI) gain spectra under the effect of the powerincident and the transverse wave number. In our knowledge, these results are new compared to Refs. [28–34], and are going to be helpful toexplain physical phenomena.