Dynamical evolutions of optical smooth positons in variable coefficient nonlinear Schrödinger equation with external potentials
Manikandan K. Serikbayev N. Manigandan M. Sabareeshwaran M.
October 2023Elsevier GmbH
Optik
2023#288
We construct the optical smooth positon solutions for the generalized variable coefficient nonlinear Schrödinger equation with longitudinally varying dispersion, nonlinearity, linear and harmonic potentials. By employing the similarity transformation technique, we derive this solution along with the homogeneous smooth positon solutions of the basic NLS equation and the integrable requirement. The dynamical properties of the constructed second- and third-order positon solutions are investigated considering the two physical scenarios. In the first situation, we consider a longitudinally variable linear potential while keeping the dispersion parameter constant. In the second scenario, we take into account three different types of modulated dispersion parameters, namely quadratic, exponential, and linear, to analyze the various features in the intensity profile of inhomogeneous optical smooth positons. In both situations, we observe a wide range of significant nonlinear phenomena in the intensity profiles of positons. These phenomena include amplification, deformation, compression, prolongation, suppression, and distortion. Our findings could make a significant contribution to intriguing nonlinear optics experiments focused on investigating optical positons.
Inhomogeneous solitons , Optical soliton , Similarity transformation , Smooth positon , Variable coefficient nonlinear Schrödinger equation
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Center for Computational Modeling, Chennai Institute of Technology, Tamilnadu, Chennai, 600 069, India
Department of General and Theoretical Physics, L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Computer Science and Engineering, Chennai Institute of Technology, Tamilnadu, Chennai, 600 069, India
Center for Computational Modeling
Department of General and Theoretical Physics
Department of Computer Science and Engineering
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