Results 41 to 50 of about 401 (85)

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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Selfsimilar solutions in a sector for a quasilinear parabolic equation

, 2012
We study a two-point free boundary problem in a sector for a quasilinear parabolic equation. The boundary conditions are assumed to be spatially and temporally "self-similar" in a special way.
A. Friedman, B. Lou, D. A. V. Stow, D. Hilhorst, G. Dong, G. M. Lieberman, H. Matano, H.-H. Chern, J. B. Keller, J.-S. Guo, J.-S. Guo, K. H. W. J. Ten Tusscher, M.-H. Giga, O. A. Ladyzhenskia, P. Brunovský, X. Chen, Y. Kohsaka, Y.-L. Chang   +17 more
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Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids

Journal of Ocean Engineering and Science, 2023
Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar, Ihsanullah Hamid, M.A. Abdou   +2 more
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Study of exact analytical solutions and various wave profiles of a new extended (2+1)-dimensional Boussinesq equation using symmetry analysis

Journal of Ocean Engineering and Science, 2022
This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
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Super-linear spreading in local and non-local cane toads equations [PDF]

, 2015
In this paper, we show super-linear propagation in a nonlocal reaction-diffusion-mutation equation modeling the invasion of cane toads in Australia that has attracted attention recently from the mathematical point of view.
Bouin, Emeric, Henderson, Christopher, Ryzhik, Lenya   +2 more
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Global exponential convergence to variational traveling waves in cylinders

, 2011
We prove, under generic assumptions, that the special variational traveling wave that minimizes the exponentially weighted Ginzburg-Landau functional associated with scalar reaction-diffusion equations in infinite cylinders is the long-time attractor for
Barenblatt G. I., Berestycki H., C. B. Muratov, Gallay T., Gallay T., Kanel' Y. I., Kanel' Y. I., Kolmogorov A. N., Lions P.-L., M. Novaga, Uchiyama K.   +10 more
core   +1 more source

Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome

Results in Physics, 2021
The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by
Mostafa M.A. Khater, A. El-Sayed Ahmed, M.A. El-Shorbagy   +2 more
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Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods

Results in Physics, 2020
In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
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Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations

Partial Differential Equations in Applied Mathematics, 2023
In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz Uddin   +3 more
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Interaction Solutions of Long and Short Waves in a Flexible Environment

Alexandria Engineering Journal, 2020
In this study, the new traveling wave solutions resulting from the interaction of the long-short wave system were obtained by using the exp-function method.
Tolga Akturk
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