Controllable behaviors of spatiotemporal breathers in a generalized variable-coefficient nonlinear Schrödinger model from arterial mechanics and optical fibers

摘要: We study the (3+1)-dimensional nonlinear Schrodinger equation with different distributed transverse diffraction and dispersion based on similarity transformation obtain exact spatiotemporal breather solutions. Based these solutions, two kinds of combined Akhmediev Kuznetsov–Ma soliton display their controllable properties by modulating values maximum effective distance \(Z_\mathrm{m}\) at peak \(Z_0\). Our results indicate that relation between \(Z_0\) is basis to realize control manipulation propagation behaviors breathers, such as complete excitation, sustainment, restraint recurrence. These are potentially useful for future experiments in various blood vessels, optical communications, long-haul telecommunication networks.