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J. Satsuma and N. Yajima, “Initial Value Problems of One-Dimensional Self-Modulation of Nonlinear Waves in Dispersive Media,” Progress of Theoretical Physics Supplement, No. 55, 1974, pp. 284-306.

has been cited by the following article:

• TITLE: Break Up of N-Soliton Bound State in a Gradient Refractive Index Waveguide with Nonlocal Nonlinearity

  AUTHORS: Isnani Darti, Suhariningsih Suhariningsih, Marjono Marjono, Agus Suryanto

  KEYWORDS: N-Soliton Bound State; GRIN Waveguide; Nonlocal Nonlinearity; Conserved Implicit Crank-Nicolson Method; Inverse Scattering Technique

  JOURNAL NAME: Optics and Photonics Journal, Vol.2 No.3, September 20, 2012

  ABSTRACT: We study the propagation of N-soliton bound state in a triangular gradient refractive index waveguide with nonlocal nonlinearity. The study is based on the direct numerical solutions of the model and subsequent eigenvalues evolution of the corresponding Zakharov-Shabat spectral problem. In the waveguide with local nonlinearity, the velocity of a single soliton is found to be symmetric around zero and therefore the soliton oscillates periodically inside the waveguide. If the nonlocality is presence in the medium, the periodic motion of soliton is destroyed due to the soliton experiences additional positive acceleration induced by the nonlocality. In the waveguide with the same strength of nonlocality, a higher amplitude soliton experiences higher nonlocality effects, i.e. larger acceleration. Based on this soliton behavior we predict the break up of N-soliton bound state into their single-soliton constituents. We notice that the splitting process does not affect the amplitude of each soliton component.