Results 21 to 30 of about 1,055,018 (270)
A method for constructing a complete bifurcation picture of a boundary value problem for nonlinear partial differential equations: application of the Kolmogorov-Arnold theorem [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this study is to develop a numerical method for bifurcation analysis of nonlinear partial differential equations, based on the reduction of partial differential equations to ordinary ones, using the Kolmogorov-Arnold theorem.
Gromov, Vasily Alexandrovich +4 more
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Frontiers in Applied Mathematics and StatisticsCompartmental models are widely used in mathematical epidemiology to describe the dynamics of infectious diseases or in mathematical models of population genetics.
Roman Taranets +4 more
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Nonlinear deterministic equations in biological evolution
, 2011 We review models of biological evolution in which the population frequency changes deterministically with time. If the population is self-replicating, although the equations for simple prototypes can be linearised, nonlinear equations arise in many ...
Baake E. +50 more
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Abstract and Applied Analysis, 2014 We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation ...
E. M. E. Zayed, K. A. E. Alurrfi
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Stability of Compacton Solutions of Fifth-Order Nonlinear Dispersive Equations
, 2000 We consider fifth-order nonlinear dispersive $K(m,n,p)$ type equations to study the effect of nonlinear dispersion. Using simple scaling arguments we show, how, instead of the conventional solitary waves like solitons, the interaction of the nonlinear ...
Avinash Khare +3 more
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Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
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Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]
, 2009 We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay +3 more
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Position Dependent Mass Approach and Quantization for a Torus Lagrangian
, 2016 We have shown that a Lagrangian for a torus surface can yield second order nonlinear differential equations using the Euler-Lagrange formulation. It is seen that these second order nonlinear differential equations can be transformed into the nonlinear ...
Yesiltas, Ozlem
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Consequences of the H-Theorem from Nonlinear Fokker-Planck Equations [PDF]
, 2007 A general type of nonlinear Fokker-Planck equation is derived directly from a master equation, by introducing generalized transition rates. The H-theorem is demonstrated for systems that follow those classes of nonlinear Fokker-Planck equations, in the ...
A. R. Plastino +13 more
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, 2004 We propose nonlinear integral equations for the finite volume one-particle energies in the O(3) and O(4) nonlinear sigma-models. The equations are written in terms of a finite number of components and are therefore easier to solve numerically than the ...
Balog J +12 more
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