Effects of chaotic perturbations on a nonlinear system undergoing two-soliton collisions
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2021
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In this work, we present a numerical study of two-soliton collisions in a system described by a cubic (Kerr-type) nonlinear Schrödinger equation whose nonlinearity has small chaotic imperfections. We use a logistic map in order to obtain a chaotic perturbation, where by defining the values of its seed and the interaction parameter, one can observe a disorder in the nonlinearity of the system. This disorder was varied by changing the parameter values and controlled via the Lyapunov exponent, however, always maintaining a fixed amplitude. We verified a direct relationship between the value of the Lyapunov coefficient and the formation of two-soliton bonded/unbonded states.
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CARDOSO, W. B.; AVELAR, A. T.; BAZEIA, D. Effects of chaotic perturbations on a nonlinear system undergoing two-soliton collisions. Nonlinear Dynamics, Berlin, v. 106, p. 3469-3477, 2021. DOI: 10.1007/s11071-021-06962-7. Disponível em: https://link.springer.com/article/10.1007/s11071-021-06962-7. Acesso em: 13 set. 2023.