Vector Solitons of a Coupled Schrödinger System with Variable Coefficients

Grajales, Muñoz; Carlos, Juan

doi:10.1155/2016/5787508

Cited by 3 publications

(1 citation statement)

References 45 publications

(71 reference statements)

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“…The effects of the periodically modulated nonlinearity on the soliton propagation and interaction in a dispersion-managed birefringence system is also of much importance [32][33][34]. Analytical vector non-autonomous soliton solutions for the coupled NLS with spatially modulated coefficients and coherent coupling were studied [35]. Particularly, the phase dynamics of bright and dark solitons in variable coefficient coupled NLS equation was reported [36].…”

Section: Introductionmentioning

confidence: 99%

Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schrödinger models with variable nonlinearities

Mareeswaran

Sakkaravarthi

Kanna³

2020

J. Phys. A: Math. Theor.

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We investigate non-autonomous solitons in a general coherently coupled nonlinear Schrödinger (CC-NLS) system with temporally modulated nonlinearities and with an external harmonic oscillator potential. This general CCNLS system encompasses three distinct types of CCNLS equations that describe the dynamics of beam propagation in an inhomogeneous Kerr-like nonlinear optical medium for different choices of nonlinear polarizations owing to the anisotropy of the medium. We identify a generalized similarity transformation to relate the considered model into the standard integrable homogeneous coupled nonlinear evolution equations with constant nonlinearities, accompanied by a constraint relation expressed in the form of the Riccati equation. With the help of a non-standard Hirota's bilinearization method and exact soliton solutions, we explore the impact of varying nonlinearities and refractive index in the propagation and collisions analytically by reverse engineering. Interestingly, we show the emergence of several modulated solitonic phenomena such as periodic oscillation, amplification, compression, tunneling/cross-over, excitons, as well as their combined effect in the single-soliton propagation and two-soliton collisions with appropriate forms of nonlinearity. Notably, we identify a tool to transform the nature of soliton collisions with certain type of inhomogeneous nonlinearities. The results could be of significant interest to the studies on management of nonlinear waves in the contexts like nonlinear optics and can also be extended to Bose-Einstein condensates and super-fluids.

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Section: Introductionmentioning

confidence: 99%

Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schrödinger models with variable nonlinearities

Mareeswaran

Sakkaravarthi

Kanna³

2020

J. Phys. A: Math. Theor.

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Existence and Numerical Computation of Standing Wave Solutions for a System of Two Coupled Schrödinger Equations

Grajales

Vargas

2019

Springer Proceedings in Mathematics &Amp; Statistics

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Revisión sistemática de literatura sobre la relación entre la teoría y la práctica en estudiantes de biología y química de Colombia

Betancourt Arango,

Suárez Millán,

Álvarez Márquez

2022

Rev. luna azul (En línea)

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Las revisiones sistemáticas (RS) son investigaciones científicas en las que se pretende dar respuesta a una pregunta de investigación claramente formulada mediante un proceso sistemático, en este caso enfocado a demostrar aspectos importantes de la relación teoría-práctica aportados en el proceso formativo en estudiantes de áreas de biología y química de Colombia. De esta manera, a través de una metodología sistemática y cualitativa, se busca realizar una comparación constructiva de diferentes investigaciones reportadas en la literatura, con el fin de demostrar la relación entre el saber disciplinar (teoría) y la praxis (práctica), que se pueden evidenciar a través de investigaciones publicadas por diferentes instituciones del país, demostrando la relación teoría-práctica como una unión sinérgica e indisoluble. Esto permitió concluir que, independiente del área de biología o química en el que se encuentre, siempre va existir una relación entre la teoría y la práctica, donde el sujeto interrelacione ambos componentes, cuando se establece dicha conexión se podrá afirmar que los procesos teóricos ayudan a fundamentar los diferentes procesos prácticos que se pueden encontrar en nuestro diario vivir, además, esa estrecha relación es lo que complementa la formación no solo de estudiantes de la Licenciatura en Biología y Química, sino que también en estudiantes que se dedican al estudio y desarrollo de investigaciones en dichas áreas.

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Vector Solitons of a Coupled Schrödinger System with Variable Coefficients

Cited by 3 publications

References 45 publications

Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schrödinger models with variable nonlinearities

Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schrödinger models with variable nonlinearities

Existence and Numerical Computation of Standing Wave Solutions for a System of Two Coupled Schrödinger Equations

Revisión sistemática de literatura sobre la relación entre la teoría y la práctica en estudiantes de biología y química de Colombia

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