Results 41 to 50 of about 1,045 (185)

Review of Some Modified Generalized Korteweg–De Vries–Kuramoto–Sivashinsky (mgKdV-KS) Equations

Foundations
This paper reviews the results of existence and uniqueness of the solutions of these equations: the Korteweg–De Vries equation, the Kuramoto–Sivashinsky equation, the generalized Korteweg–De Vries–Kuramoto–Sivashinsky equation and the nonhomogeneous ...
Marie-Thérèse Aimar, Abdelkader Intissar   +1 more
doaj   +1 more source

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

Advances 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, Mohammad Mirzazadeh, Qin Zhou, Kamyar Hosseini   +3 more
doaj   +1 more source

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

Boundary 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

Studies 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, Mykael Cardoso, Márcio Cavalcante   +2 more
wiley   +1 more source

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

Geophysical 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, Aditya Chaudhary, Seemanth M, Ratheesh Ramakrishnan, Neeraj Agarwal, Rashmi Sharma, R. Venkat Shesu, T. V. S Udaya Bhaskar   +7 more
wiley   +1 more source

Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution

Mathematical 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

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

Testing for Sufficient Follow‐Up in Survival Data With a Cure Fraction

Biometrical Journal, Volume 68, Issue 2, April 2026.
ABSTRACT In order to estimate the proportion of “immune” or “cured” subjects who will never experience failure, a sufficiently long follow‐up period is required. Several statistical tests have been proposed in the literature for assessing the assumption of sufficient follow‐up, meaning that the study duration is longer than the support of the survival ...
Tsz Pang Yuen, Eni Musta
wiley   +1 more source

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

ANALYSIS OF THE RESULTS OF COMPUTER SIMULATION N-SOLITON SOLUTIONS OF THE KORTEWEG – DE VRIES EQUATION

Informatika, 2017
The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries ...
Y. F. Novik
doaj