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Spatial solitons; variational approach; diffraction management; nonlinearity management.

The nonlinear Schrödinger equation which governs the dynamics of two-dimensional spatial solitons in Kerr media with periodically varying diffraction and nonlinearity has been analyzed in this paper using variational approach and numerical studies. Analytical expressions for soliton parameters have been derived using variational analysis. Variational equations and partial differential equation have been simulated numerically. Analytical and numerical studies have shown that nonlinearity management and diffraction management stabilize the pulse against decay or collapse providing undisturbed propagation even for larger energies of the incident beam.

P A Subha¹ C P Jisha¹ V C Kuriakose¹

1. Department of Physics, Cochin University of Science and Technology, Kochi 682 022, India

Published

August 2007

Manuscript received

12 November 2006

Manuscript revised

3 February 2007

Accepted

8 March 2007