Characteristics of solitons and Kuznetsov-Ma breathers in dispersion management optical fiber

The resonance, intensity redistribution and phase shift of collision of two solitons and three solitons in dispersion management optical fiber is discussed. The time-dependent perturbed periodic dispersion presence of the nonlinear Schrödinger equation is considered. The equation is solved by the aid of the Hirota bilinearization method and solutions are erected. The resonance is observed through formation of Kuznetsov-Ma breathers in the dispersion management optical fiber. The time-dependent perturbation on the collision of solitons in optical fiber is discussed, and the effect of time-dependent periodic dispersion on the collision of Kuznetsov-Ma breathers is exploded and forecast the intensity redistribution and phase shift after the collision of Kuznetsov-Ma breathers in optical fiber. • One-, two-, and three-soliton solutions of nonlinear Schrodinger equation have been derived via Hirota bilinearization method. • The effect of time dependent periodic perturbed dispersion on soliton collision is discussed. • Resonance between periodic dispersion and solitons leading to Kuznetsov-Ma breathers is observed. • The intensity and phase shift of Kuznetsov-Ma breathers is studied.