Results 101 to 110 of about 40,499 (216)

Nonlinear evolution of disturbances in higher time-derivative theories

Journal of High Energy Physics
We investigate the evolution of localized initial value profiles when propagated in integrable versions of higher time-derivative theories. In contrast to the standard cases in nonlinear integrable systems, where these profiles evolve into a specific ...
Andreas Fring, Takano Taira, Bethan Turner   +2 more
doaj   +1 more source

On the complete integrability of an equation having solitons but not known to have a Lax pair

International Journal of Mathematics and Mathematical Sciences, 1986
It is usually assumed that a system having N-soliton solutions is completely integrable. Here we have analyzed a set of equations occuring in case of capillary gravity waves.
A. Roychowdhury, G. Mahato
doaj   +1 more source

Impact of Non‐Classical Gravity‐Wave Dynamics on Middle‐Atmosphere Mean Flow and Solar Tides

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 8, 28 April 2026.
Abstract Conventional gravity‐wave (GW) parameterizations neglect three aspects of GW dynamics. Instead of momentum and entropy fluxes they use Eliassen‐Palm fluxes, thereby neglecting the possibility that resolved flow are not in geostrophic and hydrostatic balance.
T. Kühner, G. S. Völker, U. Achatz
wiley   +1 more source

Do Migrating Semidiurnal Tidal Winds From the Lower Atmosphere Control Thermospheric Winds?

Geophysical Research Letters, Volume 53, Issue 7, 16 April 2026.
Abstract Lower atmospheric tides are important for driving the thermospheric and ionospheric structure. The effects of different lower atmospheric migrating semidiurnal tidal fields of neutral density, temperature, and winds on the thermospheric winds are investigated by using the global ionosphere‐thermosphere model with forcing of the tides at the ...
Chen Wu, Aaron J. Ridley
wiley   +1 more source

High-Order Breather Solutions, Lump Solutions, and Hybrid Solutions of a Reduced Generalized (3 + 1)-Dimensional Shallow Water Wave Equation

Complexity, 2020
We investigate a reduced generalized (3 + 1)-dimensional shallow water wave equation, which can be used to describe the nonlinear dynamic behavior in physics. By employing Bell’s polynomials, the bilinear form of the equation is derived in a very natural
Jing Wang, Biao Li
doaj   +1 more source

Approach in Theory of Nonlinear Evolution Equations: The Vakhnenko-Parkes Equation

Advances in Mathematical Physics, 2016
A variety of methods for examining the properties and solutions of nonlinear evolution equations are explored by using the Vakhnenko equation (VE) as an example.
V. O. Vakhnenko, E. J. Parkes
doaj   +1 more source

Fractional Soliton Dynamics and Spectral Transform of Time-Fractional Nonlinear Systems: A Concrete Example

Complexity, 2019
In this paper, the spectral transform with the reputation of nonlinear Fourier transform is extended for the first time to a local time-fractional Korteweg-de vries (tfKdV) equation.
Sheng Zhang, Yuanyuan Wei, Bo Xu
doaj   +1 more source

Symmetry analysis, soliton solutions and conservation laws of the Q(L, m, n) equation

Nonlinear Analysis
In the present paper, symmetry and soliton solutions of the Q(L, m, n) equation are investigated. The infinitesimal operator of this equation is obtained by virtue of Lie group analysis.
Gangwei Wang, Mengyue He, Qin Zhou, Abdul H. Kara   +3 more
doaj   +1 more source

Mixed single, double, and triple poles solutions for the space-time shifted nonlocal DNLS equation with nonzero boundary conditions via Riemann–Hilbert approach

Nuclear Physics B
In this paper, we investigate the space-time shifted nonlocal derivative nonlinear Schrödinger (DNLS) equation under nonzero boundary conditions using the Riemann–Hilbert (RH) approach for the first time.
Xin-Yu Liu, Rui Guo
doaj   +1 more source

On sl(N) and sl(M|N) integrable open spin chains

, 2004
We study open spin chains based on rational sl(N) and sl(M|N) R-matrices. We classify the solutions of the reflection equations, for both the soliton-preserving and soliton-non-preserving cases.
Arnaudon, D., Avan, J., Crampe', N., Doikou, A., Frappat, L., Ragoucy, E.   +5 more
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