Symmetry breaking of solitons in the PT-symmetric nonlinear Schrödinger equation with the cubic–quintic competing saturable nonlinearity

Bo, Wen-Bo; Wang, Ru-Ru; Liu, Wei; Wang, Yueyue

doi:10.1063/5.0091738

Cited by 19 publications

(3 citation statements)

References 35 publications

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“…Such projects are on the table and the results of those research activities will be soon made visible to the knowledge-hungry scientists. The novel results from additional integration approaches, as well as other forms of analysis, would be disseminated all across that would align with the pre-existing approaches [11][12][13][14][15][16].…”

Section: Discussionmentioning

confidence: 99%

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Elsherbeny,

Mirzazadeh,

Arnous

et al. 2023

Contemp. Math.

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In this paper, we investigate the retrieval of optical bullets and domain walls in a novel context, considering the interplay of cross spatio-dispersive effects and employing Kudryashov' s proposed form of self-phase modulation. The integration of these two key elements represents a significant advancement in the field of nonlinear optics, enabling the recovery of optical structures with enhanced precision and control. We propose an enhanced Kudryashov’s approach, which overcomes the limitations of conventional methods and facilitates the retrieval of optical bullets and domain walls even in the presence of cross spatio-dispersive effects. Kudryashov' s self-phase modulation mechanism has proven to be a powerful tool in controlling the nonlinear dynamics of optical systems, offering unique opportunities to manipulate light waves through phase variations induced by the medium' s response to intense optical fields. The results presented herein offer new insights into the intricate interplay between self-phase modulation and spatio-dispersive effects in nonlinear optical systems. Moreover, our findings provide a promising avenue for developing novel applications in ultrafast all-optical signal processing, such as the manipulation of light bullets for high-speed data transmission and storage. The enhanced retrieval and control of optical bullets and domain walls are expected to have a profound impact on the advancement of nonlinear optics and its practical implications.

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Section: Discussionmentioning

confidence: 99%

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Elsherbeny,

Mirzazadeh,

Arnous

et al. 2023

Contemp. Math.

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“…As is well known, linear spectra of the PT-symmetric systems remain purely real due to the exact balance between the gain and loss, provided that the strength of the gain–loss distribution does not exceed a certain critical value [20–27]. And a multitude of intensive research results on PT-symmetric systems have been reported [28–43]. Experimentally, setups demonstrating persistent PT symmetry were realized in optics [23,44,45].…”

Section: Introductionmentioning

confidence: 99%

Symmetry-breaking bifurcations and excitations of solitons in linearly coupled NLS equations with PT-symmetric potentials

Song,

Malomed,

Yan

2023

Proc. R. Soc. A.

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We address symmetry-breaking bifurcations (SBBs) in the ground state (GS) and dipole-mode (DM) solitons of the one-dimensional linearly coupled NLS equations, modelling the propagation of light in a dual-core planar waveguide with the Kerr nonlinearity and two types of P T -symmetric potentials. The P T -symmetric potential is employed to obtain different types of solutions. A supercritical pitchfork bifurcation occurs in families of symmetric solutions of both the GS and DM types. A novel feature of the system is interplay between breakings of the P T and inter-core symmetries. Stability of symmetric GS and DM modes and their asymmetric counterparts, produced by SBBs of both types, is explored via the linear-stability analysis and simulations. It is found that the instability of P T -symmetric solutions takes place prior to the inter-core symmetry breaking. Surprisingly, stable inter-core-symmetric GS solutions may remain stable while the P T symmetry is broken. Fully asymmetric GS and DM solitons are only partially stable. Moreover, we construct symmetric and asymmetric GS solitons under the action of a pure imaginary localized potential, for which the SBB is subcritical. These results exhibit that stable solitons can still be found in dissipative systems. Finally, excitations of symmetric and asymmetric GS solitons are investigated by making the potential’s parameters or the system’s coupling constant functions, showing that GS solitons can be converted from an asymmetric shape onto a symmetric one under certain conditions. These results may pave the way for the study of linear and nonlinear phenomena in a dual-core planar waveguide with P T potential and related experimental designs.

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“…When optical solitons propagate in a fiber, they interact with each other, causing local phase changes in the fiber, thereby altering the frequency and waveform of the optical solitons. [27][28][29] Therefore, the NLS equation can not only help us better understand the nonlinear effects in the transmission and interaction of optical solitons, but also provide new solutions and technical means to improve the performance and reliability of nonlinear optical systems. [30][31][32] In this paper, we will study the interaction between two optical solitons based on the NLS equation.…”

Section: Introductionmentioning

confidence: 99%

Influence of the initial parameters on soliton interaction in nonlinear optical systems

Zhang

2023

Chinese Phys. B

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In nonlinear optical systems, optical solitons have the transmission properties of reducing error rate, improving system security and stability, and have important research significance in future research on all optical communication. This paper uses the bilinear method to obtain the two-soliton solutions of the nonlinear Schrödinger equation. By analyzing the relevant physical parameters in the obtained solutions, the interaction between optical solitons is optimized. The influence of initial conditions on the interactions of optical solitons are analyzed in detail, the reason why the interaction of optical solitons is sensitive to the initial condition is discussed, and the interactions of optical solitons are effectively weakened. The relevant results are beneficial for reducing the error rate and promoting the communication quality of the system.

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Symmetry breaking of solitons in the PT-symmetric nonlinear Schrödinger equation with the cubic–quintic competing saturable nonlinearity

Cited by 19 publications

References 35 publications

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Symmetry-breaking bifurcations and excitations of solitons in linearly coupled NLS equations with PT-symmetric potentials

Influence of the initial parameters on soliton interaction in nonlinear optical systems

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