Articles written in Pramana – Journal of Physics
Volume 84 Issue 3 March 2015 pp 327-338
In this paper, we study the formation of solitons, their propagation and collision behaviour in an integrable multicomponent (2+1)-dimensional long wave–short wave resonance interaction (𝑀-LSRI) system. First, we briefly revisit the earlier results on the dynamics of bright solitons and demonstrate the fascinating energy exchange collision of bright solitons appearing in the short-wave components of the 𝑀-LSRI system. Then, we explicitly construct the exact one-and two-multicomponent dark soliton solutions of the 𝑀-LSRI system by using the Hirota’s direct method and explore its propagation dynamics. Also, we study the features of dark soliton collisions.
Volume 85 Issue 5 November 2015 pp 881-897
In this paper, we discuss the fascinating energy sharing collisions of multicomponent solitons in certain incoherently coupled and coherently coupled nonlinear Schrödinger-type equations arising in the context of nonlinear optics.
Volume 85 Issue 5 November 2015 pp 1009-1021
It is well known that solitons in integrable systems recover their original profiles after their mutual collisions. This is not true in the case of optical fibre arrays, governed by a set of integrable coupled nonlinear Schrödinger (CNLS) equations. We consider the Manakov- and mixed-type `two-component' CNLS systems. The most important characteristics of these systems are:
The polarizations of the two-component solitons are changed through their mutual collisions (Manakov system) and
the energy (intensity) switching occurs through the head-on collision (mixed system).
By placing the above solitons on the primary star graph (PSG), we see that soliton collisions give rise to interesting phase changes in PSG:
The transition in PSG from its depolarized state to polarized one;
a state with selectively amplified bond is generated on PSG from its homogeneous state.
These results will be applicable to network protocols using optical fibre arrays.
Volume 97, 2023
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