Results 41 to 50 of about 30,351 (151)

Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation

, 2003
Using Painlev\'e analysis, the Hirota multi-linear method and a direct ansatz technique, we study analytic solutions of the (1+1)-dimensional complex cubic and quintic Swift-Hohenberg equations. We consider both standard and generalized versions of these
Adrian Ankiewicz, Akhmediev, Ankiewicz, Aranson, Aranson, Aranson, Bekki, Berloff, Buceta, Cariello, Chow, Conte, Cross, Garcia-Ojalvo, Hohenberg, Karlsson, Ken-ichi Maruno, Lega, Lega, Marcq, Moores, Nail Akhmediev, Nozaki, Pereira, Sakaguchi, Sakaguchi, Sanchez-Morcillo, Sanchez-Morcillo, Staliunas, Staliunas, Swift, Tribelskii, van Saarloos, Weiss   +33 more
core   +1 more source

New Biologic and Small Molecule Therapies for Hidradenitis Suppurativa

JEADV Clinical Practice, EarlyView.
ABSTRACT Hidradenitis suppurativa (HS) is an inflammatory skin disease that has historically been underdiagnosed and, until recently, under‐researched. Furthermore, the pathophysiology of HS is complex, and not fully understood. Just three biologic medications—adalimumab (anti‐TNF‐α), secukinumab (anti‐IL17A) and bimekizumab (anti‐IL17A/F) are licensed
Emily Pender, Rosalind Hughes, Brian Kirby   +2 more
wiley   +1 more source

Uniqueness of signed measures solving the continuity equation for Osgood vector fields

, 2008
Nonnegative measure-valued solutions of the continuity equation are uniquely determined by their initial condition, if the characteristic ODE associated to the velocity field has a unique solution. In this paper we give a partial extension of this result
Ambrosio, Luigi, Bernard, Patrick
core   +2 more sources

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-Order PDEs [PDF]

, 2009
Very singular self-similar solutions of semilinear odd-order PDEs are studied on the basis of a Hermitian-type spectral theory for linear rescaled odd-order operators.Comment: 49 pages, 12 ...
B Dy, R. S. Fernandes, V. A. Galaktionov
core  

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

C∞$$ {C}^{\infty } $$‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution

Mathematical Methods in the Applied Sciences, EarlyView.
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

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source