Results 51 to 60 of about 7,793,680 (284)
The N-soliton solution of a generalized Vakhnenko equation [PDF]
, 2001 The N-soliton solution of a generalised Vakhnenko equation is found, where N is an arbitrary positive integer. The solution, which is obtained by using a blend of transformations of the independent variables and Hirota's method, is expressed in terms of ...
Morrison, A.J., Parkes, E.J.
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Soliton Solution for the Korteweg-de Vries Equation [PDF]
, 2022 Korteweg de Vries (KdV) model is considered quintessential in modeling the surface gravity water waves in shallow water. In this project, we are interested in starting from the Elliptic Jacobian Functions, and performing a complete analysis of these ...
Mucalica, Ana
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Spiral soliton solution for disk galaxies [PDF]
, 2003 In this paper, weakly nonlinear dynamics of spiral galaxies is studied, using reductive perturbation method. One primarily aims at the derivation of possible soliton solution for two dimensional geometry, in the state of marginal stability.
Miroslava Savkovic +3 more
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The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
MathematicsThe (2+1)-dimensional integrable Caudrey–Dodd–Gibbon–Kotera–Sawada equation is a higher-order generalization of the Kadomtsev–Petviashvili equation, which can be applied in some physical branches such as the nonlinear dispersive phenomenon. In this paper,
Li-Jun Xu +4 more
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Multi-soliton dynamics of anti-self-dual gauge fields
Journal of High Energy Physics, 2022 We study dynamics of multi-soliton solutions of anti-self-dual Yang-Mills equations for G = GL(2, ℂ) in four-dimensional spaces. The one-soliton solution can be interpreted as a codimension-one soliton in four-dimensional spaces because the principal ...
Masashi Hamanaka, Shan-Chi Huang
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Results in Physics, 2023 In this scholarly exploration, we employ new mapping method to unveil new soliton solutions to the nonlinear fractional Kudryashov’s equation, using β-derivative and M-Truncated fractional derivatives.
Asfand Fahad +5 more
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Duke Mathematical Journal, 1992 The authors consider the \(N\)-soliton solution to the Korteweg-de Vries equation in the limit \(N \to \infty\) by careful investigation of the spectral and scattering properties of the Schrödinger operator associated to the KdV equation by the inverse scattering transform.
Gesztesy, F., Karwowski, W., Zhao, Z.
openaire +2 more sources
Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
, 2010 An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Cao, J. +4 more
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A note on N-soliton solutions for the viscid incompressible Navier–Stokes differential equation
AIP Advances, 2022 Repetitive curling of the incompressible viscid Navier–Stokes differential equation leads to a higher-order diffusion equation. Substituting this equation into the Navier–Stokes differential equation transposes the latter into the Korteweg–De Vries ...
R. Meulens
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Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics
Advanced Science, EarlyView.Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai +3 more
wiley +1 more source