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Repetitive excitations of controllable vector breathers in a nonlinear system with different distributed transverse diffractions from arterial mechanics and optical fibers

Research paper by Hai-;Yan Chen, Hai-;Ping Zhu

Indexed on: 20 Sep '16Published on: 01 Oct '16Published in: Nonlinear Dynamics



Abstract

Abstract A (2+1)-dimensional coupled nonlinear Schrödinger equation with different distributed transverse diffractions is studied, and vector breather solutions are analytically obtained. By adjusting the relation between the maximum effective distance \(Z_m\) and the effective distance, \(Z_j\) , with the peak amplitude, the control for the evolutional behaviors of the vector breather is discussed. Moreover, controllable vector breathers exhibit the phenomenon of repetitive excitations in a diffraction decreasing system, which originates from different values of transverse diffractions.AbstractA (2+1)-dimensional coupled nonlinear Schrödinger equation with different distributed transverse diffractions is studied, and vector breather solutions are analytically obtained. By adjusting the relation between the maximum effective distance \(Z_m\) and the effective distance, \(Z_j\) , with the peak amplitude, the control for the evolutional behaviors of the vector breather is discussed. Moreover, controllable vector breathers exhibit the phenomenon of repetitive excitations in a diffraction decreasing system, which originates from different values of transverse diffractions. \(Z_m\) \(Z_m\) \(Z_j\) \(Z_j\)