Nonautonomous bright soliton solutions on continuous wave and cnoidal wave backgrounds in blood vessels

We discuss the dissipative nonlinear Schrödinger equation (NLSE) with a variable coefficient in blood vessels via a NLSE-based constructive method and obtain exact nonautonomous soliton solutions including bright soliton solutions on continuous wave (cw) and cnoidal wave (cnw) backgrounds. Moreover, the dynamical behaviors of these soliton solutions are studied. The impact of the cw background on the separating and interactive soliton behaviors is investigated. These behaviors of the soliton can be modulated by adjusting the amplitude of background wave. The propagation behaviors of solitons on the cnw background in different dispersion systems are also studied. These results are potentially useful for future experiments in various blood vessels.     

The realization of controllable three dimensional rogue waves in nonlinear inhomogeneous system

We obtain self-similar first-order and second-order rogue wave solutions for the (3+1)-dimensional inhomogeneous nonlinear Schrödinger equation. Based on these solutions, we investigate the control and manipulation of rogue waves in the dispersion decreasing fibers with Logarithmic profile and Gaussian profile. Our results indicate that the propagation behaviors of rogue waves, such as fast excitation, sustainment and restraint, can be manipulated by modulating the relation between the maximum value of the effective propagation distance Z_m and the parameter Z₀ relating to the excited types of rogue wave. The comparison of the propagation behavior of rogue wave in the dispersion decreasing waveguides with Logarithmic profile, Gaussian profile and hyperbolic profile is also given.     

Solitary Wave Solutions of Discrete Complex Ginzburg-Landau Equation by Modified Adomian Decomposition Method

In this paper, exact and numerical solutions are calculated for discrete complex Ginzburg-Landau equation with initial condition by considering the modified Adomian decomposition method （mADM）, which is an efficient method and does not need linearization, weak nonlinearity assumptions or perturbation theory. The numerical solutions are also compared with their corresponding analytical solutions. It is shown that a very good approximation is achieved with the analytical solutions. Finally, the modulational instability is investigated and the corresponding condition is given.     

高取代度淀粉醋酸酯的制备

改善淀粉热塑性的方法主要是用塑化剂对其进行处理和用化学方法制备淀粉衍生物,使羟基被长链取代,减弱淀粉分子间的氢键,大分子可在较低温度下运动,从而达到降低熔融温度的目的。近年来,对高取代度淀粉醋酸酯已有报道^[1-5],Sagar等^[2]认为,粉酯的取代度越高,侧链越长,热塑性和亲水性的改变就越明显,而且酯基可起到内增塑作用,可塑性的提高反映在材料的流变学,热学及力学性能的改变上,Maheras等^[3]用高取代度的淀粉醋酸酯和纤维素醋酸酯共混,制成了纤维和塑料制品,由于高取代度淀粉醋酸酯熔点较高,Brochers等^[4]提出通过加入分子量为100－1000的增塑剂,如甘油三醋酯等,可使熔融温度降到150℃左右,Tanaka等^[6]将淀粉和乙烯类化合物在酯化催化剂的作用下反应,得到的淀粉酯性能较为理想,分子量高,具有相当好的机械性能和耐水性,国外专利报道了以甲磺酸（MSA）为催化剂制备淀粉醋酸酯的方法^[7},但对其结构和性能尚未作系统的研究,本文以冰醋酸和醋酸酐为混合酸,MSA为催化剂,制得了具有较高取代度的高直链淀粉醋酸酯,并系统研究了反应温度,反应时间,反应物比例等不同反应条件对取代度的影响,通过红外分析,特性粘度测试,溶解性等分析手段,表征了高直链淀粉醋酸酯的结构与性能。     

Quassinoids from the Roots of Eurycoma longifolia and Their Anti-Proliferation Activities

A phytochemical investigation on the roots of medicinal plant Eurycoma longifolia resulted in the isolation of 10 new highly oxygenated C₂₀ quassinoids longifolactones G‒P (1–10), along with four known ones (11–14). Their chemical structures and absolute configurations were unambiguously elucidated on the basis of comprehensive spectroscopic analysis and X-ray crystallographic data. Notably, compound 1 is a rare pentacyclic C₂₀ quassinoid featuring a densely functionalized 2,5-dioxatricyclo[5.2.2.0^4,8]undecane core. Compound 4 represents the first example of quassinoids containing a 14,15-epoxy functionality, and 7 features an unusual α-oriented hydroxyl group at C-14. All isolated compounds were evaluated for their anti-proliferation activities on human leukemia cells. Among the isolates, compounds 5, 12, 13, and 14 potently inhibited the in vitro proliferation of K562 and HL-60 cells with IC₅₀ values ranging from 2.90 to 8.20 μM.     

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

Nonlinear Dynamics - Under parity-time symmetric potentials, different-order nonlinearities such as cubic, quintic and septimal nonlinearities, altogether with their combinations and second-order...     

Spatiotemporal self-similar nonlinear tunneling effects in the (3 + 1)-dimensional inhomogeneous nonlinear medium with the linear and nonlinear gain

With the help of two kinds of similarity transformations connected with the elliptic equation, at first we analytically derive spatiotemporal self-similar solutions of the (3 + 1)-dimensional inhomogeneous nonlinear Schrödinger equation with the linear and nonlinear gain. Then we give out the mutually exclusive parameter domains for bright and dark similaritons. Finally, we discuss nonlinear tunneling effects for spatiotemporal similaritons passing through the nonlinear barrier or well. Results show that bright and dark similaritons in the normal and anomalous dispersion regions have opposite dynamic behaviors.     

Spatiotemporal self-similar solutions for the nonautonomous (3+1)-dimensional cubicben quintic Grossben Pitaevskii equation

With the help of similarity transformation, we obtain analytical spatiotemporal self-similar solutions of the nonautonomous (3+1)-dimensional cubic-quintic Gross-Pitaevskii equation with time-dependent diffraction, nonlinearity, harmonic potential and gain or loss when two constraints are satisfied. These constraints between the system parameters hint that self-similar solutions form and transmit stably without the distortion of shape based on the exact balance between the diffraction, nonlinearity and the gain/loss. Based on these analytical results, we investigate the dynamic behaviours in a periodic distributed amplification system.     

Spatiotemporal self-similar solutions for the nonautonomous （3＋1）-dimensional cubic-quintic Gross-Pitaevskii equation

With the help of similarity transformation,we obtain analytical spatiotemporal self-similar solutions of the nonautonomous(3+1)-dimensional cubic-quintic Gross-Pitaevskii equation with time-dependent diffraction,nonlinearity,harmonic potential and gain or loss when two constraints are satisfied.These constraints between the system parameters hint that self-similar solutions form and transmit stably without the distortion of shape based on the exact balance between the diffraction,nonlinearity and the gain/loss.Based on these analytical results,we investigate the dynamic behaviours in a periodic distributed amplification system.