• K Sakkaravarthi

      Articles written in Pramana – Journal of Physics

    • Dynamics of solitons in multicomponent long wave–short wave resonance interaction system

      T Kanna K Sakkaravarthi M Vijayajayanthi M Lakshmanan

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      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.

    • Novel energy sharing collisions of multicomponent solitons

      T Kanna K Sakkaravarthi M Vijayajayanthi

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      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.

    • Protocol of networks using energy sharing collisions of bright solitons

      K Nakamura T Kanna K Sakkaravarthi

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      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.

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