Search Results - "Qualitative theory of dynamical systems"

Natural Convection Non-Newtonian EMHD Dissipative Flow Through a Microchannel Containing a Non-Darcy Porous Medium: Homotopy Perturbation Method Study by Bhatti, M. M., Bég, O. Anwar, Ellahi, R., Abbas, T.

“…Non-Newtonian thermal processing in microchannel systems, is emerging as a major area of interest in modern thermal engineering. Motivated by these…”
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Auto-Bäcklund Transformation with the Solitons and Similarity Reductions for a Generalized Nonlinear Shallow Water Wave Equation by Gao, Xin-Yi

“…Studies on the shallow water waves belong to the cutting-edge issues in sciences and engineering. In this paper, introducing symbolic computation, for a…”
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In the Shallow Water: Auto-Bäcklund, Hetero-Bäcklund and Scaling Transformations via a (2+1)-Dimensional Generalized Broer-Kaup System by Gao, Xin-Yi

“…These days, watching the shallow water waves, people think about the nonlinear Broer-type models, e.g., a (2+1)-dimensional generalized Broer-Kaup system…”
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Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System by Gao, Xiao-Tian, Tian, Bo, Shen, Yuan, Feng, Chun-Hui

“…Under investigation in this paper is a generalized (2+1)-dimensional dispersive long-wave system, describing the nonlinear and dispersive long gravity waves in…”
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Symbolically Computing the Shallow Water via a (2+1)-Dimensional Generalized Modified Dispersive Water-Wave System: Similarity Reductions, Scaling and Hetero-Bäcklund Transformations by Gao, Xin-Yi, Guo, Yong-Jiang, Shan, Wen-Rui

“…For the water waves, people consider some dispersive systems. Describing the nonlinear and dispersive long gravity waves travelling along two horizontal…”
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Symbolic Computation on a (2+1)-Dimensional Generalized Nonlinear Evolution System in Fluid Dynamics, Plasma Physics, Nonlinear Optics and Quantum Mechanics by Gao, Xin-Yi

“…Nowadays, people are interested in many nonlinear models in sciences and engineering, e.g., a (2+1)-dimensional generalized nonlinear evolution system in fluid…”
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The Dynamical Behavior Analysis and the Traveling Wave Solutions of the Stochastic Sasa–Satsuma Equation by Liu, Chunyan, Li, Zhao

“…In this article, the phase portraits, chaotic patterns, and traveling wave solutions of the stochastic Sasa–Satsuma equation are investigated. Firstly, the…”
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A new (3+1)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules by Ma, Yu-Lan, Wazwaz, Abdul-Majid, Li, Bang-Qing

“…In this work, we develop a new (3+1)-dimensional Sakovich equation to describe nonlinear wave propagation. We use the truncation expansion method to confirm…”
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New Solitary Wave Solutions and Dynamical Behaviors of the Nonlinear Fractional Zakharov System by Wang, Kang-Le

“…In this study, we explore the fractional Zakharov system using the M-truncated derivative for the first time. Some new solitary wave and periodic solutions are…”
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Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System by Leta, Temesgen Desta, Liu, Wenjun, Achab, Abdelfattah El, Rezazadeh, Hadi, Bekir, Ahmet

“…In this paper, we applied some computational tools, namely the modified extended tanh method via a Riccati equation, the general Exp a -function method and the…”
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Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended (2+1)-Dimensional Coupled Burgers System in Fluid Mechanics by Gao, Xin-Yi, Guo, Yong-Jiang, Shan, Wen-Rui

“…Burgers-type equations are seen in cosmology, hydrodynamics, plasma physics, hurricane dynamics, statistical dynamics, traffic modelling, etc. For an extended…”
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Breather Wave Solutions for the (3+1)-D Generalized Shallow Water Wave Equation with Variable Coefficients by Dawod, Lafta Abed, Lakestani, Mehrdad, Manafian, Jalil

“…The equation of the shallow water wave in oceanography and atmospheric science is extended to (3+1) dimensions, which is a known equation. To achieve this, an…”
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Stability Analysis of the First Order Non-linear Impulsive Time Varying Delay Dynamic System on Time Scales by Shah, Syed Omar, Zada, Akbar, Hamza, Alaa E.

“…In this paper, we study Hyers–Ulam stability and Hyers–Ulam–Rassias stability of first order non-linear impulsive time varying delay dynamic system on time…”
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Modeling Wave Propagation with Gravity and Surface Tension: Soliton Solutions for the Generalized Hietarinta-Type Equation by Khater, Mostafa M. A.

“…This study explores analytical and approximate explicit solutions for the generalized Hietarinta-type equation, denoted as ( G H ), in the context of (2+1)…”
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SIR Model with Vaccination: Bifurcation Analysis by Maurício de Carvalho, João P. S., Rodrigues, Alexandre A.

“…There are few adapted SIR models in the literature that combine vaccination and logistic growth. In this article, we study bifurcations of a SIR model where…”
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Magnetooptic Studies on a Ferromagnetic Material via an Extended (3+1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System by Gao, Xin-Yi, Guo, Yong-Jiang, Shan, Wen-Rui, Du, Zhong, Chen, Yu-Qi

“…In this paper, we symbolically compute an extended (3+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system for the electromagnetic waves…”
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Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics by Gao, Xin-Yi, Guo, Yong-Jiang, Shan, Wen-Rui

“…Recent investigations on the liquids and lattices are both active. In this paper, with symbolic computation, we consider a (3+1)-dimensional generalized…”
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Characterizing Quadratic Convection and Electromagnetically Induced Flow of Couple Stress Fluids in Microchannels by Zhang, Lijun, Bhatti, M. M., Michaelides, Efstathios E., Ellahi, R.

“…This paper investigates the effects of quadratic convection on the electro-magneto-hydrodynamically driven flow of couple stress fluid in a microchannel. The…”
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Bilinear Form, Bilinear Bäcklund Transformations, Breather and Periodic-Wave Solutions for a (2+1)-Dimensional Shallow Water Equation with the Time-Dependent Coefficients by Feng, Chun-Hui, Tian, Bo, Yang, Dan-Yu, Gao, Xiao-Tian

“…Shallow water waves are seen in geophysical fluid dynamics, oceanography, coastal engineering and atmospheric science. In this paper, to describe the shallow…”
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N-Lump Solutions to a (3+1)-Dimensional Variable-Coefficient Generalized Nonlinear Wave Equation in a Liquid with Gas Bubbles by Pan, Yingfang, Manafian, Jalil, Zeynalli, Subhiya M., Al-Obaidi, Riyadh, Sivaraman, R., Kadi, Ammar

“…In this paper, the (3+1)-dimensional variable-coefficient generalized nonlinear wave equation arising in a liquid with gas bubbles is studied. The Hirota…”
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