Two-Dimensional and Three-Dimensional Envelope Solitons

Predhiman K. Kaw; Kyoji Nishikawa; Yugo Yoshida; Akira Hasegawa

doi:10.1103/PhysRevLett.35.88

Two-Dimensional and Three-Dimensional Envelope Solitons

Predhiman K. Kaw, Kyoji Nishikawa, Yugo Yoshida, and Akira Hasegawa

Phys. Rev. Lett. 35, 88 – Published 14 July 1975

Abstract

We have obtained symmetric envelope solitons in two and three dimensions in a medium with a saturated nonlinear susceptibility given by $χ_{NL} \sim \exp (- {| φ |}^{2}) - 1$ , where $φ$ is an appropriately normalized field amplitude. Examples for an electromagnetic wave and an electrostatic wave trapped in a plasma are presented.

Received 5 December 1974

DOI:https://doi.org/10.1103/PhysRevLett.35.88

Authors & Affiliations

Predhiman K. Kaw^*, Kyoji Nishikawa, and Yugo Yoshida

Faculty of Science, Hiroshima University, Hiroshima, Japan

Akira Hasegawa^†

Faculty of Science, Hiroshima University, Hiroshima, Japan, and Bell Laboratories, Murray Hill, New Jersey 07974

^*Japan Society for the Promotion of Science Visiting Professor on leave of absence from Physical Research Laboratory, Ahmedabad, India.
^†Work supported in part by National Science Foundation Grant No. 7412932.