Results 51 to 60 of about 59,617,543 (217)

A new approach for the analysis of evolution partial differential equations on a finite interval

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı, Dionyssios Mantzavinos, Konstantinos Kalimeris   +2 more
wiley   +1 more source

Characteristics of Conservation Laws for Difference Equations [PDF]

, 2013
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE, Grant, Timothy J., Hydon, Peter E., Grant, TJ   +3 more
core   +1 more source

KdV and mKdV Ion-Acoustic Solitary Waves In a Positron-beam Plasma with Kaniadakis Distributed Electrons

East European Journal of Physics
Theoretical and numerical studies of ion-acoustic solitary waves (IASWs) in an unmagnetized plasma with ions, positron beams under pressure variation, and kaniadakis distributed electrons have been conducted. The potential wave amplitude is calculated by
Rafia Khanam, Satyendra Nath Barman
doaj   +1 more source

Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV-Modified KdV, and Schrödinger-KdV Equations

Abstract and Applied Analysis, 2015
Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented.
A. R. Seadawy, K. El-Rashidy
doaj   +1 more source

An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation [PDF]

Proceedings of the National Academy of Sciences, 1998
This paper extends the steepest descent method for Riemann-Hilbert problems introduced by Deift and Zhou in a critical new way. We present, in particular, an algorithm, to obtain the support of the Riemann-Hilbert problem for leading asymptotics. Applying this extended method to small dispersion KdV (Korteweg-de Vries) equation,
Deift, P., Venakides, S., Zhou, X.
openaire   +2 more sources

Observations of High‐Frequency Internal Waves Near Submesoscale Fronts

Journal of Geophysical Research: Oceans, Volume 131, Issue 8, August 2026.
Abstract Nonlinear high‐frequency internal waves (HIWs) can occur at oceanic frontal interfaces but are rarely observed directly. This study presents field observations of HIWs near submesoscale fronts (SFs) in the northern Gulf of Mexico. A marine X‐band radar detected a series of organized bands, with a spacing of 50 ∼ 300 m, near SFs.
Mingming Shao, Brian K. Haus, Jody M. Klymak, Björn Lund, Ruben Carrasco, Jochen Horstmann, Darek Bogucki, Tamay M. Özgökmen, Jun A. Zhang   +8 more
wiley   +1 more source

A List of 1 + 1 Dimensional Integrable Equations and Their Properties [PDF]

, 2001
This paper contains a list of known integrable systems. It gives their recursion-, Hamiltonian-, symplectic- and cosymplectic operator, roots of their symmetries and their scaling ...
Jing Ping Wang, Wang, Jing Ping
core   +1 more source

A One-Step Block Hybrid Integrator for Solving Fifth Order Korteweg-de Vries Equations

Journal of Nigerian Society of Physical Sciences, 2022
Fifth-order Korteweg-de Vries (KdV) equations, arise in modeling waves phenomena such as the propagation of shallow water waves over a flat surface, gravity-capillary waves and sound waves in plasmas.
Olumide O. Olaiya, Mark I. Modebei, Saheed A. Bello   +2 more
doaj   +1 more source

Solitary Waves of Moderate Amplitude and Dispersive Radiation in the Serre Equations: The Extended KdV–Whitham Approximation

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We consider the extended Korteweg–de Vries (eKdV) equation as a model for long moderately nonlinear surface water waves and use it to describe the evolution of initial conditions generating solitary waves with and without significant dispersive radiation, as well as cases of pure dispersive radiation without any solitary waves.
Benjamin Martin, Dmitri Tseluiko, Karima Khusnutdinova   +2 more
wiley   +1 more source

KdV limit for the Vlasov–Poisson–Landau system

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We are concerned with the fluid limit to KdV equations for the one‐dimensional Vlasov–Poisson–Landau system that describes the dynamics of ions in plasma with the electron density determined by the self‐consistent electric potential through the so‐called Boltzmann relation. Formally, it is well known that as the Knudsen number ε→0$\varepsilon \
Renjun Duan, Dongcheng Yang, Hongjun Yu
wiley   +1 more source