Interaction of the narrow and the wide solitons in generalized saturable Kerr-type

Jerzy Jasinski

doi:10.1117/12.882146

14 December 2010 Interaction of the narrow and the wide solitons in generalized saturable Kerr-type

Jerzy Jasinski

Proceedings Volume 7746, 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 77460U (2010) https://doi.org/10.1117/12.882146
Event: 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2010, Liptovsky Jan, Slovakia

Abstract

In the paper propagation of two overlapping light pulses in saturable nonlinear medium of Kerr type is analyzed. During their interaction higher order effects are taken into account. The total field of both pulses satisfies Higher Order Nonlinear Schrödinger Equation (HONSE). This equation is being solved analytically and numerically for the field describing sum of two concentric solitons - one high and narrow and the second low but very wide. The approximate analytical solution of HONSE is obtained by means of canonical method. The derived ten Euler-Lagrange equations can be solved analytically if parameters of considered solitons significantly differ. The obtained solution describes oscillations of altitude and width of the narrow soliton and monotonous change of parameters of the wide component - its width increases and altitude decreases during propagation. The correspondence between numeric and analytical solutions is analyzed.

Citation Download Citation

Jerzy Jasinski "Interaction of the narrow and the wide solitons in generalized saturable Kerr-type", Proc. SPIE 7746, 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 77460U (14 December 2010); https://doi.org/10.1117/12.882146

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