INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 发表与非线性科学和数值模拟相关的所有主题的原创论文。该杂志面向非线性科学、工程师和计算科学家、经济学家和其他研究人员，他们要么研究非线性问题的性质，要么对非线性问题进行数值模拟。

The International Journal of Nonlinear Sciences and Numerical Simulation publishes original research papers related to all aspects of nonlinear sciences and numerical simulations. This journal is aimed at researchers in nonlinear science, engineering, computational science, economics, and other fields who study the nature of nonlinear problems or conduct numerical simulations of such problems.

《International Journal of Nonlinear Sciences and Numerical Simulation》发表与非线性科学和数值模拟相关的原创研究论文。该期刊面向非线性科学、工程、计算科学、经济学等领域的研究人员，特别是那些研究非线性问题特性或进行非线性问题数值模拟的学者。

International Journal of Nonlinear Sciences and Numerical Simulation

Abstract This article deals with a class of nonlinear fractional p -Laplacian Schr <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <m:mrow> <m:mover accent="true"> <m:mrow> <m:mi>o</m:mi> </m:mrow> <m:mo>̈</m:mo> </m:mover> </m:mrow> </m:math> $\ddot{o}$ dinger coupled system with critical and subcritical nonlinear terms. Firstly, the existence of a nonnegative ground state solution of the system is proved by the Nehari manifold method and the Ekeland’s variational principle. In addition, through the Ljusternik–Schnirelmann theory, we link the number of solutions to the topology of the set in which the potentials in the system reach their minimum values.

Yan Qiao

Fangqi Chen

Yukun An

Ground state solutions of Schrödinger system with fractional <i>p</i>-Laplacian

分数阶<i>p</i>-拉普拉斯薛定谔系统的基态解

Abstract In this paper, we investigate the dynamics of stochastic plate equations with memory in unbounded domains. More specifically, we obtain the uniform in time estimates for solutions of the problem. Based on the estimates above, we prove the existence and uniqueness of random attractors in unbounded domains. Finally, we show the upper semicontinuity of the attractors when stochastic perturbations approaches zero.

Xiao Bin Yao

Asymptotic behavior for stochastic plate equations with memory in unbounded domains

无界区域中具有记忆的随机板方程的渐近行为

Abstract We perform a complete symmetry classification for the hyperbolic system of partial differential equations, which describes a drift-flux two-phase flow in a one-dimensional pipe, with a mass-transfer term between the two different phases of the fluid. In addition, we consider the polytropic equation of states parameter and gravitational forces. For general values of the polytropic indices, we find that the fluid equations are invariant under the elements of a three-dimensional Lie algebra. However, additional Lie point symmetries follow for specific values of the polytropic indices. The one-dimensional systems are investigated in each case of the classification scheme, and the similarity transformations are calculated in order to reduce the fluid equations into a system of ordinary differential equations. Exact solutions are derived, while the reduced systems are studied numerically.

Andronikos Paliathanasis

Lie symmetry analysis for two-phase flow with mass transfer

两相流质量传递的Lie对称性分析

Abstract This manuscript prospects the controllability of Hilfer fractional neutral differential equations. The new results are obtained by implementing a suitable fixed point approach and the technique of measures of noncompactness and the outcomes and facts belong to fractional theory. Firstly, we focus the controllability and extend the discussion with nonlocal conditions. Finally, an interesting example is proposed to illustrate our main obtained results.

Krishnan Kavitha

Velusamy Vijayakumar

Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay

非稠密定义的Hilfer分数阶中立型微分方程有限延迟可控性探讨

Abstract In this research, we intended to employ the Pearson correlation and a multiscale generalized Shannon-based entropy to trace the transition and type of inherent mutual information as well as correlation structures simultaneously. An optimal value for scale is found to prevent over smoothing, which leads to the removal of useful information. The lowest Singular Value Decomposition Multiscale Generalized Cumulative Residual Entropy (SVDMWGCRE), or SVD Entropy (SVDE), is obtained for periodic–chaotic series, generated by logistic map; hence, the different dynamic, correlation structures, and intrinsic mutual information have been characterized correctly. It is found out that the mutual information between emerging markets entails higher sensitivity, and moreover emerging markets have demonstrated the highest uncertainty among investigated markets. Additionally, the fractional order has synergistic effects on the enhancement of sensitivity with the multiscale feature. According to the logistic map and financial time series results, it can be inferred that the logistic map can be utilized as a financial time series. Further investigations can be performed in other fields through this financial simulation. The temporal evolutions of financial markets are also investigated. Although the results demonstrated higher noisy information for emerging markets, it was illustrated that emerging markets are getting more efficient over time. Additionally, the temporal investigations have demonstrated long-term lag and synchronous phases between developed and emerging markets. We also focused on the COVID-19 pandemic and compared the reactions of developing and emerging markets. It is ascertained that emerging markets have demonstrated higher uncertainty and overreaction to this pandemic.

Ali Koushki

Mohammad Osoolian

Seyed Jalal Sadeghi Sharif

An uncertainty measure based on Pearson correlation as well as a multiscale generalized Shannon-based entropy with financial market applications

基于皮尔逊相关的不确定性度量及多尺度广义香农熵在金融市场中的应用

Alibek Issakhov

Berizat Omarov

Albina Mashenkova

Aizhan Abylkassymova

Corrigendum to: numerical modeling of thermal influence to pollutant dispersion and dynamics of particles motion with various sizes in idealized street canyon

Abbreviation
Journal Impact	1.41
Quartiles(Global)	PHYSICS, MATHEMATICAL(Q2)

ISSN	1565-1339, 2191-0294
h-index	62

Publication Information	Publisher: Walter de Gruyter GmbH，Publishing cycle: Quarterly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 2000，Proportion of original research papers: 100.00%，Self Citation Rate:0.00%， Gold OA Rate: 4.05%
Average review cycle	网友分享经验：较慢,6-12周
Average recruitment ratio	网友分享经验：容易

International Journal of Nonlinear Sciences and Numerical Simulation

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Ground state solutions of Schrödinger system with fractional p-Laplacian

Asymptotic behavior for stochastic plate equations with memory in unbounded domains

Lie symmetry analysis for two-phase flow with mass transfer

Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay

An uncertainty measure based on Pearson correlation as well as a multiscale generalized Shannon-based entropy with financial market applications

Corrigendum to: numerical modeling of thermal influence to pollutant dispersion and dynamics of particles motion with various sizes in idealized street canyon

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