Results 61 to 70 of about 62,135,588 (169)

Diverse Jacobi Elliptic Function Solutions and Dynamical Behaviors for a High-Order KdV Type Wave Equation via Extended F-Expansion Method

Mathematics
This paper focuses on a high-order Korteweg–de Vries wave equation. The extended F-expansion method, a modified form of Kudryashov’s auxiliary equation approach, is employed to construct Jacobi elliptic function solutions for this equation.
Jiayi Fu, Weixu Ni, Wenxia Chen
doaj   +1 more source

Exact traveling wave solutions to higher order nonlinear equations

Journal of Ocean Engineering and Science, 2019
The present paper applies the new generalized (G′/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3+1)-dimensional Jimbo-Miwa ...
Md Nur Alam, Xin Li
doaj   +1 more source

A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
wiley   +1 more source

A Multiple Imputation Approach to Distinguish Curative From Life‐Prolonging Effects in the Presence of Missing Covariates

Biometrical Journal, Volume 68, Issue 3, June 2026.
ABSTRACT Medical advances have increased cancer survival rates and the possibility of finding a cure. Hence, it is crucial to evaluate the impact of treatments both in terms of cure and prolongation of survival. To achieve this, we may use a Cox proportional hazards cure model.
Marta Cipriani, Marta Fiocco, Marco Alfò, Maria Quelhas, Eni Musta   +4 more
wiley   +1 more source

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

, 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  

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

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

, 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, Ying-ying Sun, Nijhoff, FW, Zhang, D-J, Sun, Y-Y, Frank W. Nijhoff   +5 more
core   +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

Symmetries for the Semi-Discrete Lattice Potential Korteweg–de Vries Equation

Mathematics
In this paper, we prove that the isospectral flows associated with both the x-part and the n-part of the Lax pair of the semi-discrete lattice potential Korteweg–de Vries equation are symmetries of the equation.
Junwei Cheng, Xiang Tian
doaj   +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