Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations

被引：0
作者：
Luo, Jie [1 ]
Guo, Jiangtao [2 ]
Shao, Yan [2 ]
Zhao, Guangxu [2 ]
Jiao, Min [3 ]
机构：
[1] Chengdu Univ, Sch Elect Informat & Elect Engn, Chengdu 610106, Peoples R China
[2] Chongqing Res Inst Co Ltd, China Coal Technol & Engn Grp, Chongqing 401332, Peoples R China
[3] Chengdu Keruite Elect Automat Co Ltd, Chengdu 610091, Peoples R China
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2025年 / 113卷
关键词：
Partial differential equation; Bifurcation; Phase portrait; Complete discriminant system method;
D O I：
10.1016/j.aej.2024.11.046
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, our main purpose is to study dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations in quantum mechanics. Firstly, the stochastic Riemann wave equations in quantum mechanics is simplified into nonlinear ordinary differential equation. Secondly, the third-order complete discriminant system is applied to the nonlinear ordinary differential equation, and some traveling wave solutions of stochastic Riemann wave equations are obtained. Finally, two-dimensional planar dynamical systems and its disturbance systems are considered by using Mathematical software. Some meaningful phase diagrams have been drawn by mathematical software to explain the dynamic behavior of two-dimensional dynamics and its perturbed systems.
引用
收藏
页码：409 / 413
页数：5
相关论文
共 30 条
  • [1] Alam MN, 2014, PRAMANA-J PHYS, V83, P317, DOI 10.1007/s12043-014-0776-8
  • [2] A Fokker-Planck control framework for multidimensional stochastic processes
    Annunziato, M.
    Borzi, A.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 237 (01) : 487 - 507
  • [3] Harmonizing wave solutions to the Fokas-Lenells model through the generalized Kudryashov method
    Barman, Hemonta Kumar
    Roy, Ripan
    Mahmud, Forhad
    Akbar, M. Ali
    Osman, M. S.
    [J]. OPTIK, 2021, 229
  • [4] Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus
    Burgos, C.
    Cortes, J. -C.
    Debbouche, A.
    Villafuerte, L.
    Villanueva, R. -J.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 352 : 15 - 29
  • [5] Holding time estimation for reactions in stochastic event-based simulation of complex biological systems
    Ghosh, Preetam
    Ghosh, Samik
    Basu, Kalyan
    Das, Sajal
    [J]. SIMULATION MODELLING PRACTICE AND THEORY, 2008, 16 (10) : 1615 - 1639
  • [6] New extended (G′/G)-expansion method to solve nonlinear evolution equation: the (3+1)-dimensional potential-YTSF equation
    Harun-Or-Roshid
    Akbar, M. Ali
    Alam, Md Nur
    Hoque, Md Fazlul
    Rahman, Nizhum
    [J]. SPRINGERPLUS, 2014, 3 : 1 - 6
  • [7] Harun-Or-Roshid N., 2013, Pure Appl. Math., V3, P10
  • [8] Wave structures, modulation instability analysis and chaotic behaviors to Kudryashov's equation with third-order dispersion
    He, Yalin
    Kai, Yue
    [J]. NONLINEAR DYNAMICS, 2024, 112 (12) : 10355 - 10371
  • [9] Khatun M.M., 2023, J. Umm Al-Qura Univ. Appl. Sci., V10, P120
  • [10] New optical soliton solutions to the space-time fractional perturbed Chen-Lee-Liu equation
    Khatun, Mst. Munny
    Akbar, M. Ali
    [J]. RESULTS IN PHYSICS, 2023, 46
123