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16 articles for “Evolution Equations”
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Research ArticleOpen accessIn the keywordsApplication of an Enhanced (G'/G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Particle PhysicsS.M. Rayhanul IslamThe enhanced (G'/G)-expansion method is very effective and powerful method to find the exact traveling wave solutions of nonlinear evolution equations. We choose the Phi-4 equation to illustrate the validity and advantages of this method. As a result, many exact traveling wave solutions are obtained, which include soliton, hyperbolic function and trigonometric function solutions. …American Journal of Applied Sciences, Vol. 12, Issue 11 · 13 Nov 2015 · 7,037 accessesView PDFCite
Research ArticleOpen accessIn the keywordsON SOLUTIONS IN THE HYDRODYNAMIC APPROXIMATION OF SOLAR AND STELLAR WINDS WITH VISCOSITYPanagiotis N. Koumantos, Panaiotis K. Pavlakos, Xenophon D. MoussasIn this article we present some results in existence and uniqueness of strong and classical solutions of the hydrodynamic equations modeling solar and stellar winds. The system of Navier-Stokes equations for solar and stellar winds is considered in its corresponding differential evolution equation form (d/dt+A)υ(t) = F(υ(t), t), where F is a given non-linear function and -A is the infinitesimal … …Physics International, Vol. 5, Issue 2 · 30 May 2014 · 7,553 accessesView PDFCite
Research ArticleOpen accessIn the abstractCoupling Analysis of Thermodynamic Equilibrium of Mass Transfer and Microbial Community Succession in Multiphase System of Dark Tea Solid-State FermentationZhanjun Liu, Jiawei Sun, Taotao Li et al.During the solid-state fermentation of dark tea, the limited material migration, the dynamic evolution of the thermodynamic equilibrium state, and the highly dynamic succession of the microbial community make it difficult to analyze the quality formation mechanism systematically. Traditional research has focused on microbial diversity or sensory quality analysis, lacking a systematic discussion on the regulatory effects of material migration … …American Journal of Biochemistry and Biotechnology, Vol. 22, Issue 3 · 10 Aug 2026 · 1,004 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Novel River Meander Migration and Cutoff Model: A New PerspectiveYoussef Ismail HafezAccurate prediction of river meander migration is crucial for effective river management and operation, particularly in light of climate changes and human-induced interventions. Existing models often rely on single-equation approaches, such as bank erosion rate versus excess bank velocity or excess bank shear stress, which limit their ability to comprehensively capture the complex dynamics of meander evolution. This study presents … …American Journal of Environmental Sciences, Vol. 21, Issue 1 · 21 Mar 2025 · 7,683 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn a New Equation for the Design and Development of Space Launch VehiclesZaheen Abdur RahmanIt is a general consensus amongst the global scientific community that space is the final frontier for human exploration. It has also been reasoned by them that in order to survive in this hostile universe, humanity has to become a multi-planetary species. For that reason, according to calculations made after mapping the human genome, over 10,000 people are needed to … …Journal of Aircraft and Spacecraft Technology, Vol. 2, Issue 1 · 26 Feb 2018 · 7,410 accessesView PDFCite
Research ArticleOpen accessIn the abstractOne-Dimensional Simulation of Diffusion and Advection Effects in Enzymatic Hydrolysis of CelluloseNorazaliza Mohd Jamil, Qi WangEnzymatic hydrolysis process to transform lignocellulosic cellulose into sugar in a bioreactor tank involves different controlling factors such as advection, diffusion and fragmentation of cellulose chains. Although it has been observed experimentally that enzymatic hydrolysis is strongly influenced by the environmental effects in a tank, these effects have not been adequately quantified. In this study, a current kinetic model for … …American Journal of Applied Sciences, Vol. 13, Issue 7 · 13 Jul 2016 · 7,216 accessesView PDFCite
Research ArticleOpen accessIn the abstractFitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value ProblemsAsad Freihat, Radwan Abu-Gdairi, Hammad Khalil et al.In this article, the reproducing kernel Hilbert space W24 [0, 1] is employed for solving a class of third-order periodic boundary value problem by using fitted reproducing kernel algorithm. The reproducing kernel function is built to get fast accurately and efficiently series solutions with easily computable coefficients throughout evolution the algorithm under constraint periodic conditions within required grid points. The … …American Journal of Applied Sciences, Vol. 13, Issue 5 · 11 May 2016 · 7,647 accessesView PDFCite
Research ArticleOpen accessIn the abstractCHEMICAL EQUILIBRIUM OF SOIL SOLUTION IN STEPPE ZONE SOILA. A. Batukaev, A. P. Endovitsky, T. M. Minkina et al.Dynamics of material composition, migration and accumulation of salts is determined by chemical equilibrium in soil solution. Soil solution contains associated electrically neutral ion pairs CaCO30; CaSO40, MgCO30, MgSO40, charged ion pairs CaHCO3+, MgHCO3+, NaCO3-, NaSO4-, CaOH+, MgOH+. Calculation method is proposed for quantitative assessment of real ion forms in the soil solution of chestnut solonetz soil complex. Were proposed … …American Journal of Agricultural and Biological Sciences, Vol. 9, Issue 3 · 24 Jun 2014 · 8,224 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE NUMERICAL VALUES OF THE FUNDAMENTAL PARAMETERS OF THE MODEL OF SELFVARIATIONS AND THE AGE OF THE UNIVERSEEmmanuil ManousosThe law of selfvariations determines quantitatively a slight increase of the rest masses and the electric charges of material particles as a common cause of quantum and cosmological phenomena. At cosmological scales the law of selfvariations can be expressed by two similar differential equations for the rest mass and the electric charge respectively. These equations contain information and justify the … …Physics International, Vol. 5, Issue 1 · 20 Mar 2014 · 8,563 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE ASSOCIATION OF IONS IN THE SOIL SOLUTION OF SALINE SOILSA. P. Endovitsky, T. M. Minkina, V. P. Kalinichenko et al.The chemical equilibrium in the soil solution determines the dynamics of its material composition, migration and accumulation of salts. In the soil solution are formed electrically neutral ion pairs CaCO3°; CaSO4°, MgCO3°, MgSO4°, charged ion pairs CaHCO3+, MgHCO3+, NaCO3-, NaSO4-, CaOH+, MgOH+. The calculation method proposed for quantitative assessment of real ion forms in the soil solution of solonetz taking … …American Journal of Agricultural and Biological Sciences, Vol. 9, Issue 2 · 12 Feb 2014 · 8,048 accessesView PDFCite