Results 41 to 50 of about 123 (100)
Saturated Fronts in Crowds Dynamics
Advanced Nonlinear Studies, 2021 We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan +2 more
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Propagation pattern for a three-species competition system in shifting patchy environments
Advances in Nonlinear AnalysisThis paper investigates the dynamic behavior of a three-species competition system in shifting patchy environments. By employing Schauder’s fixed point theorem, we first establish the existence of positive traveling wave solutions under the assumption of
Tan Qian-Qian, Wang Jia-Bing, Wu Chufen
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Results in Physics, 2020 The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman +1 more
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Propagation of calcium waves in a bistable buffered system with nonlocal dispersal
Advanced Nonlinear StudiesWe investigate wave propagation in a bistable buffered system with nonlocal dispersal. A central question in this problem is the effect of stationary buffers on calcium waves.
Guan Changchang, Wu Shi-Liang
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Advances in Nonlinear AnalysisContinuing our previous study (P. Drábek, S. Jung, E. Ko, and M. Zahradníková, Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients, J. Math. Anal. Appl. 539 (2024), no.
Drábek Pavel +3 more
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ON THE CONTROLLABILITY OF RACING SAILING BOATS WITH FOILS
, 2017 The development of foils for racing boats has changed the strategy of sailing. Recently, the America's cup held in San Francisco, has been the theatre of a tragicomic history due to the foils.
Caroline, Fabre, Destuynder, Philippe
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The Novel Numerical Solutions for Time‐Fractional Fishers Equation
Advances in Mathematical PhysicsA new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM.
Aslı Alkan, Hasan Bulut, Ercan Çelik
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Solitary waves of the degenerate rotation-two-component Camassa–Holm system
Advanced Nonlinear StudiesConsidered herein are the classification of solitary wave solutions of the degenerate rotation-two-component Camassa–Holm system. Depending on the values of the rotating parameter Ω ${\Omega}$ and the balance index σ $\sigma $ , we classify various ...
Moon Byungsoo
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Nonlinear EngineeringPure-quartic solitons have recently gained increasing interest due to their unique dispersion landscape, where pulse evolution is governed solely by fourth-order dispersion.
Elsonbaty Nivan M. +4 more
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SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS
Forum of Mathematics, Sigma, 2018 We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
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