Bright spatial solitons in quintic-septimal nonlinear media with two families of PT-symmetric potentials

Chen, Yixiang; Xu, F.; Hu, Yi‐Liang

doi:10.1140/epjp/i2017-11816-x

Cited by 9 publications

(2 citation statements)

References 25 publications

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“…Additionally, soliton solutions of the one-dimensional inhomogeneous cubic-quintic-septimal NLSE with  -symmetric potential were obtained [20]. Bright solitons in quintic-septimal nonlinear media considering two kinds of  -symmetric potentials have been also presented [21]. Threedimensional optical solitons in nonlinear media with  -symmetric potential, different-order nonlinearities (such as cubic, quintic and septimal nonlinearities), as well as second-and fourth-order dispersions/diffractions have been also found [22].…”

Section: Introductionmentioning

confidence: 98%

Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential

Yu¹,

Triki²,

Zhou³

2023

Commun. Theor. Phys.

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This work studies the dynamical transmission of chirped optical solitons in a spatially inhomogeneous nonlinear fiber with cubic-quintic-septic nonlinearity, weak nonlocal nonlinearity, self-frequency shift and parity-time ($\mathcal{PT}$) symmetry potential. A generalized variable-coefficient nonlinear Schr"{o}dinger equation that models the dynamical evolution of solitons has been investigated by the analytical method of similarity transformation and the numerical mixed method of split-step Fourier method and Runge-Kutta method. The analytical self-similar bright and kink solitons, as well as their associated frequency chirps, are derived for the first time. We found that the amplitude of the bright and kink solitons can be controlled by adjusting the imaginary part of $\mathcal{% PT}$-symmetric potential. Moreover, the influence of initial chirp parameter on the soliton pulse widths is quantitatively analyzed. It is worth emphasizing that we could control the chirp whether it is linear or nonlinear by adjusting optical fiber parameters. The simulation results of bright and kink solitons fit perfectly with the analytical ones, and the stabilities of these soliton solutions against noises are checked by numerical simulation.

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Section: Introductionmentioning

confidence: 98%

Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential

Yu¹,

Triki²,

Zhou³

2023

Commun. Theor. Phys.

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“…. If the case is a (2+1)-dimension, the term about time t disappears, equation (1) is the governing equation in [33].…”

Section: Introductionmentioning

confidence: 99%

(3+1)-dimensional Gaussian-type solitons in the quintic-septimal nonlinear parity–time symmetric media

Chen¹,

Xiao²,

2019

Phys. Scr.

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We analyze (3+1)-dimensional constant-coefficient and variable-coefficient quintic-septimal nonlinear Schrödinger equations with dispersion/diffraction and parity–time symmetric potentials, and find exact Gaussian-type soliton solutions corresponding to two kinds of Gaussian-type parity–time symmetric potentials. From solutions of the constant-coefficient equation in the homogeneous case, we know that the sign of the septimal nonlinearity coefficient is related to the highest-order Gaussian parameter of the real component of parity–time symmetric potentials. The positive values for the powers and power-flow densities of the soliton solution illustrate that the powers flow from the gain region to the loss region. Based on solutions of the variable-coefficient equation in the inhomogeneous case, the expansion and compression of (3+1)-dimensional Gaussian-type solitons are revealed in the periodic modulation system. Moreover, the phase-switch phenomenon is found.

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Three-dimensional optical solitons formed by the balance between different-order nonlinearities and high-order dispersion/diffraction in parity-time symmetric potentials

2019

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Bright spatial solitons in quintic-septimal nonlinear media with two families of PT-symmetric potentials

Cited by 9 publications

References 25 publications

Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential

Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential

(3+1)-dimensional Gaussian-type solitons in the quintic-septimal nonlinear parity–time symmetric media

Three-dimensional optical solitons formed by the balance between different-order nonlinearities and high-order dispersion/diffraction in parity-time symmetric potentials

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