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20072021
most citedBright-dark solitons and their collisions in mixed N-coupled nonlinear Schrödinger equations

191 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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5 papers · 1 filter

nlin.SI2021★ 32 cited

Painlevé Analysis and Higher-Order Rogue Waves of a Generalized(3+1)-dimensional Shallow Water Wave Equation

Sudhir Singh, K. Sakkaravarthi, T. Tamizhmani +1

Considering the importance of ever-increasing interest in exploring localized waves, we investigate a generalized (3+1)-dimensional Hirota-Satsuma-Ito equation describing the unidi…

nlin.SI2018★ 21 cited

Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation

K. Sakkaravarthi, A. G. Johnpillai, A. Durga Devi +2

We consider the nonlinear Helmholtz (NLH) equation describing the beam propagation in a planar waveguide with Kerr-like nonlinearity under non-paraxial approximation. By applying t…

nlin.SI2015★ 16 cited

Explicit construction of single input - single output logic gates from three soliton solution of Manakov system

M. Vijayajayanthi, T. Kanna, M. Lakshmanan +1

We construct single input logic gates using the energy sharing collisions of a minimal number of (three) bright optical solitons associated with the three soliton solution of the i…

nlin.SI2009★ 20 cited

Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations

T. Kanna, K. Sakkaravarthi, C. Senthil Kumar +2

In this paper, we have studied the integrability nature of a system of three coupled Gross-Pitaevskii type nonlinear evolution equations arising in the context of spinor Bose-Einst…

nlin.SI2007★ 191 cited

Bright-dark solitons and their collisions in mixed N-coupled nonlinear Schrödinger equations

M. Vijayajayanthi, T. Kanna, M. Lakshmanan

Mixed type (bright-dark) soliton solutions of the integrable N-coupled nonlinear Schr{ö}dinger (CNLS) equations with mixed signs of focusing and defocusing type nonlinearity coeffi…