329 citations · 1.5k across the 35 of their papers we have counts for
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Simulation of universal optical logic gates under energy sharing collisions of Manakov solitons and fulfillment of practical optical logic criteria
M. Vijayajayanthi, T. Kanna, M. Lakshmanan
The universal optical logic gates, namely NAND and NOR gates, have been theoretically simulated by employing the energy sharing collision of bright optical solitons in the Manakov…
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…
A systematic construction of parity-time ()-symmetric and non--symmetric complex potentials from the solutions of various real nonlinear evolution equations
K. Tamilselvan, T. Kanna, Avinash Khare
We systematically construct a distinct class of complex potentials including parity-time () symmetric potentials for the stationary Schrödinger equation by using the solit…
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…
Multicomponent long-wave--short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons
K. Sakkaravarthi, T. Kanna, M. Vijayajayanthi +1
We consider a general multicomponent (2+1)-dimensional long-wave--short-wave resonance interaction (LSRI) system with arbitrary nonlinearity coefficients, which describes the nonli…
Elliptic Waves in Two Component Long Wave--Short Wave Resonance Interaction System in One and Two dimensions
Avinash Khare, T. Kanna, K. Tamilselvan
We consider (2+1) and (1+1) dimensional long-wave short-wave resonance interaction systems. We construct an extensive set of exact periodic solutions of these systems in terms of L…
Mixed solitons in (2+1) dimensional multicomponent long-wave--short-wave system
T. Kanna, M. Vijayajayanthi, M. Lakshmanan
We derive a (2+1)-dimensional multicomponent long-waveshort-wave resonance interaction (LSRI) system as the evolution equation for propagation of -dispersive waves in weak Ke…
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…
Higher dimensional bright solitons and their collisions in multicomponent long wave-short wave system
T. Kanna, M. Vijayajayanthi, K. Sakkaravarthi +1
Bright plane soliton solutions of an integrable (2+1) dimensional ()-wave system are obtained by applying Hirota's bilinearization method. First, the soliton solutions of a 3-…
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…
Periodic energy switching of bright solitons in mixed coupled nonlinear Schr{ö}dinger equations with linear self and cross coupling terms
T. Kanna, M. Vijayajayanthi, M. Lakshmanan
The bright soliton solutions of the mixed 2-coupled nonlinear Schr{ö}dinger (CNLS) equations with linear self and cross coupling terms have been obtained by identifying a transform…
Shape changing (intensity redistribution) collisions of solitons in mixed coupled nonlinear Schr{ö}dinger equations
T. Kanna, M. Lakshmanan, P. Tchofo Dinda +1
A novel kind of shape changing (intensity redistribution) collision with potential application to signal amplification is identified in the integrable -coupled nonlinear Schr{ö}…
Exact soliton solutions of coupled nonlinear Schrödinger equations: Shape changing collisions, logic gates and partially coherent solitons
T. Kanna, M. Lakshmanan
The novel dynamical features underlying soliton interactions in coupled nonlinear Schr{ö}dinger equations, which model multimode wave propagation under varied physical situations i…
Effect of Phase Shift in Shape Changing Collision of Solitons in Coupled Nonlinear Schroedinger Equations
T. Kanna, M. Lakshmanan
Soliton interactions in systems modelled by coupled nonlinear Schroedinger (CNLS) equations and encountered in phenomena such as wave propagation in optical fibers and photorefract…
Shape-changing Collisions of Coupled Bright Solitons in Birefringent Optical Fibers
M. Lakshmanan, T. Kanna, R. Radhakrishnan
Wecritically review the recent progress in understanding soliton propagation in birefringent optical fibers.By constructing the most general bright two-soliton solution of the inte…
Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations
T. Kanna, M. Lakshmanan
We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schroedinger equations (3-CNLS) by using the Hirota method, and then obt…