315 citations
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6 papers · 1 filter
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…
Invariant subspace method for (m + 1)-dimensional non-linear time-fractional partial differential equations
P. Prakash, K. S. Priyendhu, M. Lakshmanan
In this paper, we generalize the theory of the invariant subspace method to (m + 1)-dimensional non-linear time-fractional partial differential equations for the first time. More s…
Invariant subspace method to the initial and boundary value problem of the higher dimensional nonlinear time-fractional PDEs
K. S. Priyendhu, P. Prakash, M. Lakshmanan
This paper systematically explains how to apply the invariant subspace method using variable transformation for finding the exact solutions of the (k+1)-dimensional nonlinear time-…
Modulational instability in -symmetric Bragg grating structures with saturable nonlinearity
K. Tamilselvan, A. Govindarajan, I. Inbavalli +2
We investigate the nontrivial characteristics of modulational instability (MI) in a system of Bragg gratings with saturable nonlinearity. We also introduce an equal amount of gain…
Bright Matter-Wave Bound Soliton Molecules in Spin-1 Bose-Einstein Condensates with Non-autonomous Nonlinearities
K. Sakkaravarthi, R. Babu Mareeswaran, T. Kanna
This work deals with matter-wave bright soliton molecules in spin-1 Bose-Einstein condensates described by three-component Gross-Pitaevskii equations with non-autonomous nonlineari…
OpenMP Fortran programs for solving the time-dependent dipolar Gross-Pitaevskii equation
Luis E. Young-S., Paulsamy Muruganandam, Antun Balaž +1
In this paper we present Open Multi-Processing (OpenMP) Fortran 90/95 versions of previously published numerical programs for solving the dipolar Gross-Pitaevskii (GP) equation inc…