Symmetry Breaking of PT-symmetric Solitons in Self-defocusing Saturable Nonlinear Schrödinger Equation

Bo, Wen-Bo; Dai, Chao-Qing; Wang, Yueyue; Li, Pengfei

doi:10.21203/rs.3.rs-725749/v1

Cited by 2 publications

(2 citation statements)

References 33 publications

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“…This high response rate demonstrates the unique advantages of montmorillonite powder in hemostasis, bringing a significant clinical benefit to patients. Besides its remarkable efficacy, MST has fewer adverse effects [9]. No significant drug side effects or toxic effects were found in clinical trials and practical applications [10].…”

Section: Efficacy Evaluation Indexmentioning

confidence: 99%

Application of montmorillonite powder in the treatment of acute small intestinal bleeding

Luo,

2023

JFSNH

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This paper discusses the application of montmorillonite powder in the treatment of acute small intestinal bleeding. This paper combines the research results at home and abroad to systematically discusses the mechanism, clinical effect, adverse effects and precautions of montmorillonite powder in the treatment of acute small intestinal bleeding. Combined with the domestic and foreign research methods, the domestic research emphasizes its deep research in pharmacology, clinical application and basic research, providing support for its wide application in the domestic medical field. Foreign studies have highlighted that montmorillonite powder not only has unique advantages in the treatment of acute small intestinal bleeding by regulating the balance of intestinal flora and enhancing immunity, but also provides a new therapeutic idea for its combined application with other drugs. Domestic and foreign research progress shows that montmorillonite powder has achieved some efficacy in the treatment of acute small intestinal bleeding, however, despite the significant progress, its mechanism of action and application method still need to be further studied. In the future, multidisciplinary cooperation should be strengthened to develop safer and more effective treatment options through in-depth research to provide more comprehensive medical services for patients with acute small bowel bleeding.

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Section: Efficacy Evaluation Indexmentioning

confidence: 99%

Application of montmorillonite powder in the treatment of acute small intestinal bleeding

Luo,

2023

JFSNH

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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][21][22][23][24][25][26][27]. And a multitude of intensive research results on PTsymmetric systems have been reported [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][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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Symmetry Breaking of PT-symmetric Solitons in Self-defocusing Saturable Nonlinear Schrödinger Equation

Cited by 2 publications

References 33 publications

Application of montmorillonite powder in the treatment of acute small intestinal bleeding

Application of montmorillonite powder in the treatment of acute small intestinal bleeding

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

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