Results 21 to 30 of about 91,052 (310)

Solutions to a nonlinear Maxwell equation with two competing nonlinearities in $\mathbb{R}^3$

Bulletin of the Polish Academy of Sciences Mathematics, 2021
to appear in Bulletin Polish Acad.
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Soliton-Potential Interactions for Nonlinear Schrödinger Equation in $\mathbb{R}^3$ [PDF]

SIAM Journal on Mathematical Analysis, 2018
In this work we mainly consider the dynamics and scattering of a narrow soliton of NLS equation with a potential in $\mathbb{R}^3$, where the asymptotic state of the system can be far from the initial state in parameter space. Specifically, if we let a narrow soliton state with initial velocity $\upsilon_{0}$ to interact with an extra potential $V(x)$,
Qingquan Deng, Avy Soffer, Xiaohua Yao
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian, Moro, A., Antonio Moro, Klein, C, Moro, Anotnio, Grava, T., Dubrovin, Boris, Boris Dubrovin, Dubrovin, B., Moro, Antonio, Tamara Grava, Klein, C., Grava, Tamara, Christian Klein   +13 more
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Scalar perturbations in cosmological f(R) models: the cosmic screening approach

European Physical Journal C: Particles and Fields, 2018
We investigate cosmological perturbations for nonlinear f(R) models within the cosmic screening approach. Matter is considered both in the form of a set of discrete point-like massive bodies and in the form of a continuous pressureless perfect fluid.
Özgür Akarsu, Ruslan Brilenkov, Maxim Eingorn, Valerii Shulga, Alexander Zhuk   +4 more
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Study on Optimal Conventional Triaxial Strength Criterion of Rock Based on Gauss-Newton Method [PDF]

E3S Web of Conferences
Conventional triaxial strength criteria are used widely to judge the rock failure states. In this paper, the nonlinear least squares method (Guass-newton method) is used to fit the regression relationships between the maximum principal stress σ1 as well ...
Tian Mengtao, Guo Baohua, Zhang Zhezhe, Zhu Chuangwei, Zhong Pengbo   +4 more
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Lie symmetry analysis and invariant solutions of 3D Euler equations for axisymmetric, incompressible, and inviscid flow in the cylindrical coordinates

Advances in Difference Equations, 2021
Through the Lie symmetry analysis method, the axisymmetric, incompressible, and inviscid fluid is studied. The governing equations that describe the flow are the Euler equations. Under intensive observation, these equations do not have a certain solution
R. Sadat, Praveen Agarwal, R. Saleh, Mohamed R. Ali   +3 more
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Multipole analysis for linearized $$f(R,{\mathcal {G}})$$ f(R,G) gravity with irreducible Cartesian tensors

European Physical Journal C: Particles and Fields, 2019
The field equations of $$f(R,{\mathcal {G}})$$ f(R,G) gravity are rewritten in the form of obvious wave equations with the stress–energy pseudotensor of the matter fields and the gravitational field as its source under the de Donder condition.
Bofeng Wu, Chao-Guang Huang
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On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument

Abstract and Applied Analysis, 2014
The following differential equation u(n)(t)+p(t)|u(σ(t))|μ(t) sign  u(σ(t))=0 is considered. Here p∈Lloc(R+;R+),  μ∈C(R+;(0,+∞)),  σ∈C(R+;R+),  σ(t)≤t, and limt→+∞⁡σ(t)=+∞.
Alexander Domoshnitsky, Roman Koplatadze
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Rényi Entropies and Nonlinear Diffusion Equations [PDF]

Acta Applicandae Mathematicae, 2014
Since their introduction in the early sixties, the Rényi entropies have been used in many contexts, ranging from information theory to astrophysics, turbulence phenomena and others. In this note, we enlighten the main connections between Rényi entropies and nonlinear diffusion equations.
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Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

, 2004
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S, J. Sayers, Jack Sayers, Sayers, J., J. Wang, Sayers, Jack, Sanders, J.A., Hereman, Willy, Jing Ping Wang, J. Sanders, W. Hereman, Willy Hereman, Wang, J.P., Wang, Jing Ping, Sanders, Jan A., Hereman, W.   +15 more
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