Results 111 to 120 of about 52,211 (225)

Deriving N-soliton solutions via constrained flows

, 2000
The soliton equations can be factorized by two commuting x- and t-constrained flows. We propose a method to derive N-soliton solutions of soliton equations directly from the x- and t-constrained flows.Comment: 8 pages, AmsTex, no figures, to be published
Ablowitz M, Cao Cewen, Dubrovin B A, Eilbeck J C, Faddeev L D, Its A, Newell A C, Ragnisco O, Sklyanin E K, Sklyanin E K, Yunbo Zeng, Zeng Yunbo, Zeng Yunbo, Zeng Yunbo   +13 more
core   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source

On Non‐Compact Extended Bach Solitons

Mathematische Nachrichten, Volume 299, Issue 5, Page 1140-1151, May 2026.
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley   +1 more source

Dynamics of resonant soliton, novel hybrid interaction, complex N-soliton and the abundant wave solutions to the (2+1)-dimensional Boussinesq equation

Alexandria Engineering Journal
The presented work concerns with some novel solutions of the (2+1)-dimensional Boussinesq equation (BE), which acts as an important model for shallow water wave.
Kang-Jia Wang, Feng Shi, Shuai Li, Peng Xu   +3 more
doaj   +1 more source

Unraveling the Mystery of Melt Migration in Migmatites: From Channeling Instability to Pattern Formation

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun, Manman Hu, Roberto Weinberg, Klaus Regenauer‐Lieb   +3 more
wiley   +1 more source

An Explicit Construction of Kaleidocycles by Elliptic Theta Functions

Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.
ABSTRACT We study a configuration space consisting of ordered points on the two‐dimensional sphere satisfying a system of quadratic constraints. We construct explicit periodic orbits in the configuration space using elliptic theta functions. The constructed orbits simultaneously satisfy semi‐discrete analogues of the modified KdV and sine‐Gordon ...
Shizuo Kaji, Kenji Kajiwara, Shota Shigetomi   +2 more
wiley   +1 more source

N-Soliton Solutions of the Nonisospectral Generalized Sawada-Kotera Equation

Advances in Mathematical Physics, 2014
The soliton interaction is investigated based on solving the nonisospectral generalized Sawada-Kotera (GSK) equation. By using Hirota method, the analytic one-, two-, three-, and N-soliton solutions of this model are obtained.
Jian Zhou, Xiang-Gui Li, Deng-Shan Wang
doaj   +1 more source

Validation of 1‐Day Repeat SWOT Measurements Against Tide‐Gauge and Glider Data Off Canada's West Coast

Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.
Abstract The Surface Water and Ocean Topography (SWOT) satellite observations are shown to agree well with tide gauge and underwater glider data in the Northeast Pacific. The SWOT mission measures sea surface height in a 120‐km wide swath. It had a 1‐day repeat cycle for 3 months in 2023.
Guoqi Han, Jody M. Klymak, Tetjana Ross, Nancy Chen   +3 more
wiley   +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