Results 41 to 50 of about 5,295 (178)

Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme

open access: yesAdvances in Mathematical Physics, 2019
The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV ...
Abdullahi Rashid Adem   +3 more
doaj   +1 more source

Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain

open access: yesBoundary Value Problems, 2017
In this paper, we address an inverse problem for the Korteweg-de Vries equation posed on a bounded domain with boundary conditions proposed by Colin and Ghidaglia.
Mo Chen
doaj   +1 more source

Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions

open access: yesStudies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos   +2 more
wiley   +1 more source

Teoria quase-linear de Kato e a KdV transicional [PDF]

open access: yes, 1998
Dissertação (mestrado) - Universidade Federal de Santa Catarina. Centro de Ciências Físicas e Matemáticas.Neste trabalho desenvolvemos a teoria linear e quase-linear de T.
Chavez Fuentes, Jorge Richard
core  

Internal Wave Characteristics in the Andaman Sea: New Insights From SWOT Observations

open access: yesGeophysical Research Letters, Volume 53, Issue 10, 28 May 2026.
Abstract High‐resolution, repeat‐pass Sea Surface Height Anomaly (SSHA) observations from the Surface Water and Ocean Topography (SWOT) satellite are used to investigate Internal Solitary Waves (ISW) in the Andaman Sea over a one‐year period starting in July 2023. SWOT captured surface signatures of high‐amplitude ISW, with SSHA exceeding 20 cm.
Anup Kumar Mandal   +7 more
wiley   +1 more source

Lagrangian structures and multidimensional consistency [PDF]

open access: yes, 2010
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
core  

The Sylvester equation and the elliptic Korteweg-de Vries system [PDF]

open access: yes, 2017
The elliptic potential Korteweg-de Vries lattice system is a multi-component extension of the lattice potential Korteweg-de Vries equation, whose soliton solutions are associated with an elliptic Cauchy kernel (i.e., a Cauchy kernel on the torus).
Da-jun Zhang   +5 more
core   +1 more source

Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 7068-7081, 15 May 2026.
ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley   +1 more source

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

open access: yesJournal 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   +3 more
wiley   +1 more source

Sobre el soporte de soluciones de la ecuación de korteweg de vries [PDF]

open access: yes, 2011
En este trabajo se considera la ecuación de Korteweg-de Vries (KdV): ∂∂_T u+u∂_x u=0 u = u(x; t), x ∈ R, t ∈ R y se demuestra que si u(; 0) y u(; 1) tienen soporte en un intervalo espacial [-∞;B], para cierto B 0, entonces u es idénticamente nula ...
López Cardona, Diego Alberto
core  

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