Results 31 to 40 of about 315,021 (338)
Scientific Reports, 2023 In this study, the Lengyel-Epstein system is under investigation analytically. This is the reaction–diffusion system leading to the concentration of the inhibitor chlorite and the activator iodide, respectively.
Nauman Ahmed +7 more
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Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method [PDF]
, 2008 The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa-Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution.
Abbasbandy, S., Parkes, E.J.
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Solitary wave solutions of hierarchy with non-local nonlinearity
Applied Mathematics Letters, 2020 The hierarchy of nonlinear differential equations with non-local nonlinearity is considered. Solitary wave solutions of the hierarchy are found. The case of solitary waves for twelfth-order nonlinear differential equation is analyzed in detail.
N. Kudryashov
semanticscholar +1 more source
Metastability of solitary waves in diatomic FPUT lattices
Mathematics in Engineering, 2019 It is known that long waves in spatially periodic polymer Fermi-Pasta-Ulam-Tsingou lattices are well-approximated for long, but not infinite, times by suitably scaled solutions of Korteweg-de Vries equations.
Nickolas Giardetti +3 more
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Structural stability of finite dispersion-relation preserving schemes
, 2008 The goal of this work is to determine classes of travelling solitary wave solutions for a differential approximation of a finite difference scheme by means of a hyperbolic ansatz.
Ablowitz +16 more
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On spectral stability of solitary waves of nonlinear Dirac equation on a line [PDF]
, 2012 We study the spectral stability of solitary wave solutions to the nonlinear Dirac equation in one dimension. We focus on the Dirac equation with cubic nonlinearity, known as the Soler model in (1+1) dimensions and also as the massive Gross-Neveu model ...
A. Comech +22 more
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Applied Mathematics Letters, 2020 A fourth-order nonlinear generalized Boussinesq water wave equation is studied in this work, which describes the propagation of long waves in shallow water. We employ Lie symmetry method to study its vector fields and optimal systems. Moreover, we derive
Shou‐Fu Tian
semanticscholar +1 more source
Elastic and nonelastic interactional solutions for the (2 + 1)-dimensional Ito equation
Arab Journal of Basic and Applied Sciences, 2019 In this paper, based on the bilinear form and two new test functions, for the (2 + 1)-dimensional Ito equation, we obtain non-elastic interactional solutions composed of three different types of waves including the solitary wave, the periodic wave and ...
Ai-Juan Zhou, Lan Lan
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A dimension-breaking phenomenon for water waves with weak surface tension
, 2016 It is well known that the water-wave problem with weak surface tension has small-amplitude line solitary-wave solutions which to leading order are described by the nonlinear Schr\"odinger equation. The present paper contains an existence theory for three-
B. Buffoni +20 more
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Solitary waves due to x(2):x(2) cascading [PDF]
, 1994 Solitary waves in materials with a cascaded x(2):x(2) nonlinearity are investigated, and the implications of the robustness hypothesis for these solitary waves are discussed. Both temporal and spatial solitary waves are studied.
Menyuk, Curtis +2 more
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