Ultrashort self-similar periodic waves and similaritons in an inhomogeneous optical medium with an external source and modulated coefficients

C Djoptoussia, CGL Tiofack, Alim, A Mohamadou… - Nonlinear …, 2022 - Springer
In this paper, we use the similarity transformation to reduce the generalized higher-order
nonlinear Schrödinger equation with space-and time-modulated coefficients incorporating …

[HTML][HTML] Dynamical characteristics and physical structure of cusp-like singular solitons in birefringent fibers

A Muniyappan, K Manikandan, AR Seadawy… - Results in Physics, 2024 - Elsevier
In this paper, we explore optical nonlinear waves in a birefringent fiber by investigating the
dynamics of a coupled nonlinear Schrödinger system with four-wave mixing factors. Utilizing …

Analytical solitary-wave solutions of the generalized nonautonomous cubic-quintic nonlinear Schrödinger equation with different external potentials

JR He, HM Li - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
A large family of analytical solitary wave solutions to the generalized nonautonomous cubic-
quintic nonlinear Schrödinger equation with time-and space-dependent distributed …

[HTML][HTML] Analytical light bullet solutions in diffraction-decreasing media with inhomogeneous parameters

G Xiong, JR He, K Wang, L Xue - Results in Physics, 2022 - Elsevier
We obtain exact analytical light bullet solutions to the (3+ 1)-dimensional generalized
nonlinear Schrödinger equation with inhomogeneous parameters. We study three types of …

Spatiotemporal optical solitons in a dual-core waveguide amplifier with inter modal dispersion

K Wang, JR He, S Xu, L Xue - Optik, 2022 - Elsevier
We obtain spatiotemporal optical solitons in a dual-core waveguide amplifier with inter
modal dispersion, which can be described by a (3+ 1)-dimensional generalized nonlinear …

Optical similaritons in a tapered graded-index nonlinear-fiber amplifier with an external source

TS Raju, PK Panigrahi - Physical Review A—Atomic, Molecular, and Optical …, 2011 - APS
We analytically explore a wide class of optical similariton solutions to the nonlinear
Schrödinger equation appropriately modified to model beam propagation in a tapered …

Exact optical self-similar solutions in a tapered graded-index nonlinear-fiber amplifier with an external source

JR He, L Yi - Optics Communications, 2014 - Elsevier
We study the propagations of optical self-similar solutions in a tapered graded-index
nonlinear-fiber amplifier with an external source through asymmetric twin-core fiber …

W-shaped, bright and kink solitons in the quadratic-cubic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials

H Triki, K Porsezian, A Choudhuri… - Journal of Modern …, 2017 - Taylor & Francis
An extended non-linear Schrödinger equation (NLSE) combining quadratic and cubic Non-
linearities, which appears as an approximate model of a relatively dense quasi-one …

Spatiotemporal chirped solitary waves to the generalized ()-dimensional nonlinear Schrödinger equation with varying sources under different diffraction and …

JR He, S Xu, WW Deng, K Wang, L Xue - Nonlinear Dynamics, 2024 - Springer
We present analytical and numerical solutions for spatiotemporal chirped solitary waves in
the generalized (3+ 1)-dimensional nonlinear Schrödinger equation with varying sources …

Snakelike similaritons in combined harmonic-lattice potentials with a varying source

JR He, WW Deng, L Xue - Nonlinear Dynamics, 2020 - Springer
We study the dynamics of snakelike similaritons to the nonlinear Schrödinger equation in
combined harmonic-lattice potentials with a varying source term. Using the self-similar and …