查看更多>>摘要：In this paper,the(1+1)-dimensional classical Boussinesq-Burgers(CBB)system is extended to a(4+1)-dimensional CBB system by using its conservation laws and the deformation algorithm.The Lax integrability,symmetry integrability and a large number of reduced systems of the new higher-dimensional system are given.Meanwhile,for illustration,an exact solution of a(1+1)-dimensional reduced system is constructed from the viewpoint of Lie symmetry analysis and the power series method.
查看更多>>摘要：In this paper,we investigate the Cauchy problem of the Sasa-Satsuma(SS)equation with initial data belonging to the Schwartz space.The SS equation is one of the integrable higher-order extensions of the nonlinear Schrödinger equation and admits a 3 × 3 Lax representation.With the aid of the(∂)-nonlinear steepest descent method of the mixed(∂)-Riemann-Hilbert problem,we give the soliton resolution and long-time asymptotics for the Cauchy problem of the SS equation with the existence of second-order discrete spectra in the space-time solitonic regions.
查看更多>>摘要：We present a flexible manipulation and control of solitons via Bose-Einstein condensates.In the presence of Rashba spin-orbit coupling and repulsive interactions within a harmonic potential,our investigation reveals the numerical local solutions within the system.By manipulating the strength of repulsive interactions and adjusting spin-orbit coupling while maintaining a zero-frequency rotation,diverse soliton structures emerge within the system.These include plane-wave solitons,two distinct types of stripe solitons,and odd petal solitons with both single and double layers.The stability of these solitons is intricately dependent on the varying strength of spin-orbit coupling.Specifically,stripe solitons can maintain a stable existence within regions characterized by enhanced spin-orbit coupling while petal solitons are unable to sustain a stable existence under similar conditions.When rotational frequency is introduced to the system,solitons undergo a transition from stripe solitons to a vortex array characterized by a sustained rotation.The rotational directions of clockwise and counterclockwise are non-equivalent owing to spin-orbit coupling.As a result,the properties of vortex solitons exhibit significant variation and are capable of maintaining a stable existence in the presence of repulsive interactions.
查看更多>>摘要：This paper introduces a modified formal variable separation approach,showcasing a systematic and notably straightforward methodology for analyzing the B-type Kadomtsev-Petviashvili(BKP)equation.Through the application of this approach,we successfully ascertain decomposition solutions,Bäcklund transformations,the Lax pair,and the linear superposition solution associated with the aforementioned equation.Furthermore,we expand the utilization of this technique to the C-type Kadomtsev-Petviashvili(CKP)equation,leading to the derivation of decomposition solutions,Bäcklund transformations,and the Lax pair specific to this equation.The results obtained not only underscore the efficacy of the proposed approach,but also highlight its potential in offering a profound comprehension of integrable behaviors in nonlinear systems.Moreover,this approach demonstrates an efficient framework for establishing interrelations between diverse systems.
查看更多>>摘要：The aim of this work is to investigate anisotropic compact objects within the framework off(G)modified theory of gravity.For our present work,we utilize Krori-Barua metrics,i.e.,λ(r)=Xr2+Y and β(r)=Zr2.We use some matching conditions of spherically symmetric spacetime with Bardeen's model as an exterior geometry.Further,we establish some expressions of energy density and pressure components to analyze the stellar configuration of Bardeen compact stars by assuming viablef(G)models.We examine the energy conditions for different stellar structures to verify the viability of our considered models.Moreover,we also investigate some other physical features,such as equilibrium condition,equation of state parameters,adiabatic index,stability analysis,mass function,surface redshift,and compactness factor,respectively.It is worthwhile to mention here for the current study that our stellar structure in the background of Bardeen's model is more viable and stable.
查看更多>>摘要：Exact analytical solutions are good candidates for studying and explaining the dynamics of solitons in nonlinear systems.We further extend the region of existence of spin solitons in the nonlinearity coefficient space for the spin-1 Bose-Einstein condensate.Six types of spin soliton solutions can be obtained,and they exist in different regions.Stability analysis and numerical simulation results indicate that three types of spin solitons are stable against weak noise.The non-integrable properties of the model can induce shape oscillation and increase in speed after the collision between two spin solitons.These results further enrich the soliton family for non-integrable models and can provide theoretical references for experimental studies.
查看更多>>摘要：The SARG04 quantum key distribution protocol can offer greater robustness against photon number splitting attacks than the BB84 protocol that is implemented with weak pulses.In this paper,we propose a tight key analysis for the SARG04 protocol,by considering the one-decoy method and investigating its performance under the influence of a detector afterpulse.Our results demonstrate that an increase in block size leads to a slight increase in both the secure key rate and the maximum transmission distance.Importantly,the detector afterpulse plays a crucial role in practical applications and has a more pronounced effect on the SARG04 protocol compared to the BB84 protocol.
查看更多>>摘要：The bootstrap method which has been studied under many quantum mechanical models turns out to be feasible in microcanonical ensembles as well.While the approach of Nakayama(2022 Mod.Phys.Lett.A 37 2250054)produces a sector when energy is negative,in this paper we report a method that has stronger constraints and results in a smaller region.We also study other models to demonstrate the effectiveness of our method.
查看更多>>摘要：A quantum network concerns several independent entangled resources and can create strong quantum correlations by performing joint measurements on some observers.In this paper,we discuss an n-partite chain network with each of two neighboring observers sharing an arbitrary Bell state and all intermediate observers performing some positive-operator-valued measurements with parameter λ.The expressions of all post-measurement states between any two observers are obtained,and their quantifications of Bell nonlocality,Einstein-Podolsky-Rosen steering and entanglement with different ranges of λ are respectively detected and analyzed.
查看更多>>摘要：By using potential energy surface(PES)calculations in the three-dimensional space(β2,γ,β4)within the framework of the macroscopic-microscopic model,the fission trajectory and fission barrier for Z=118(Og),119,120 nuclei has been systematically investigated.The calculated PES includes macroscopic liquid-drop energy,microscopic shell correction and pairing correction.Taking the 294Og176 nucleus as an example,we discuss the next closed shell after Z=82 and N=126 with the calculated Woods-Saxon single-particle levels.Then,the results of PES in 294Og is illustrated from the(X,Y)scale to the(β2,γ)scale.The γ degree of freedom reveals the shape evolution clearly during the fission process.The structure near the minimum and saddle point of the PES in the Z=118,119,120 nuclei is demonstrated simultaneously.Based on the potential energy curves,general trends of the evolution of the fission barrier heights and widths are also studied.The triaxial deformation in these superheavy mass regions plays a vital role in the first fission barrier,showing a significant reduction in both triaxial paths.In addition,the model-dependent fission barriers of proton-rich nuclei295Og,296119,and297120 are analyzed briefly.Our studies could be valuable for synthesizing the superheavy new elements in the forthcoming HIAF and other facilities.
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