Modern Physics Letters B

In this paper, a $(3+1)$-dimensional generalized KP-Boussinesq equation is introduced and its associate Hirota bilinear form is also given. Based on finding the positive quadratic function solutions of the associate Hirota bilinear equation, the lump solutions of the proposed $(3+1)$-dimensional generalized KP-Boussinesq equation and its corresponding reduced equations in $(2+1)$ dimensions are obtained. Furthermore, the sufficient and necessary conditions for guaranteeing the analyticity and rational localization of lump solutions are derived and expressed in the form of free parameters, which are involved in lump solutions and play a key role in controlling the dynamic properties of lump solutions. The localized properties are also analyzed and shown graphically.

By using the Lewis–Riesenfeld invariants theory, we investigate the quantum dynamics of a two-dimensional (2D) time-dependent coupled oscillator. We introduce a unitary transformation and show the conditions under which the invariant operator is uncoupled to describe two simple harmonic oscillators with time-independent frequencies and unit masses. The decouplement allows us to easily obtain the corresponding eigenstates. The generalization to three-dimensional (3D) time-dependent coupled oscillator is briefly discussed where a diagonalized invariant, which is exactly the sum of three simple harmonic oscillators, is obtained under specific conditions on the parameters.

The harsh environment of the battlefield challenges the delay and reliability of the cloud computing system composed of soldier terminals and BeiDou satellites. Based on this, this paper focuses on common problems in computational crowdsourcing under multi-agent and proposes a task distribution strategy optimization model based on battlefield edge computing. The process introduces the concept of flow pressure to solve these issues, load balancing and cascading congestion. Flow pressure means multiple servers can communicate and partially offload tasks that exceed the computational load to other servers. The computational overflow problem can be solved by task offloading based on flow pressure. Several different mainstream task allocation strategies are compared through experiments to demonstrate the model’s performance. The experimental results show that the model has lower latency and failure rate and reasonable computational resource occupation, which has a particular theoretical value and reference significance.

This study investigates the acceleration of a single electron and an electron bunch by an azimuthally polarized (AP) laser pulse in the presence of a helical wiggler and external magnetic field in the form of a hyperbolic tangent (HT) function. The wiggler parameters were optimized to retain betatron resonance for a long time, as a result of which it was found that the optimum values of HT magnetic field strength and its parameter increase the interaction length. The laser fields, the wiggler magnetic field, and the HT magnetic field cooperatively helped cause the generation of the high energetic electrons. Finally, highly energetic electrons were obtained with a mean energy of about 2 GeV and an extremely low mean scattering angle of ${0.82}^{\circ }$, and an acceleration gradient of about 42 GeV/m.

We present thermodynamic and elastic theory for BCC metal and binary interstitial alloy established by the statistical moment method (SMM) and perform numerical calculations for the silicon concentration, pressure and temperature dependences of nearest neighbor distance, volume, thermal expansion coefficient, heat capacities at constant volume and at constant pressure, Debye temperature, Gruneisen parameter, isothermal elastic modulus, bulk modulus, shearing modulus, elastic constants and longitudinal wave velocity for W and WSi under temperature up to 3600 K, pressure up to 100 GPa and silicon atom concentration up to 5%. The SMM numerical calculations for W are compared with experiments and other calculations. The SMM calculated results for WSi are predictive, orienting experimental results in the future.