We analyze spatiotemporal solitons in multimode optical fibers and demonstrate the existence of stable solitons, in a sharp contrast to earlier predictions of collapse of multidimensional solitons in three-dimensional media. We discuss the coexistence of blow-up solutions and collapse stabilization by a low-dimensional external potential in graded-index media, and also predict the existence of stable higher-order nonlinear waves such as dipole-mode spatiotemporal solitons. To support the main conclusions of our numerical studies we employ a variational approach and derive analytically the stability criterion for input powers for the collapse stabilization.
Bibliographical note© 2018 American Physical Society.
Shtyrina, O. V., Fedoruk, M. P., Kivshar, Y. S., & Turitsyn, S. K. (2018). Coexistence of collapse and stable spatiotemporal solitons in multimode fibers. Physical Review A, 97(1). https://doi.org/10.1103/PhysRevA.97.013841