Eur. Phys. J. Plus (2017) 132: 331
https://doi.org/10.1140/epjp/i2017-11588-3

Regular Article

Rogue waves with multiple compression points in nonlinear optical cavities

¹ School of Geology and Mining Engineering, Department of Petroleum and Gas Engineering, University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon
² Institute of Mines and Petroleum Industries, Department of Mechanical and Electrical Engineering, University of Maroua, P.O. Box 46, Maroua, Cameroon

^* e-mail: kolguy_r@yahoo.fr

Received: 1 March 2017
Accepted: 6 June 2017
Published online: 3 August 2017

Abstract

In this paper, we use the similarity transformation method to investigate the generation and the control of rogue wave solutions in nonlinear optical cavities described by a (2 + 1) -dimensional Lugiato-Lefever equation with varying coefficients. For a periodic distribution of the diffraction parameter, first-order and second-order rogue wave solutions with multiple compression points are generated. Our results reveal that multiple compression points depend on the values of the modulation amplitude of the diffraction parameter and are independent of the spatial distribution in the cavities.