In the long-wave, weakly nonlinear limit a generic model for the interaction of two waves with nearly coincident linear phase speeds is a pair of coupled Korteweg-de Vries equations. Here we consider the simplest case when the coupling occurs only through linear non-dispersive terms, and for this case delineate the various families of solitary waves that can be expected. Generically, we demonst...

We propose consistent scaling of solitary waves on inertia-dominated falling liquid films, which accurately accounts for the driving physical mechanisms and leads to a self-similar characterization of solitary waves. Direct numerical simulations of the entire two-phase system are conducted using a state-of-the-art finite volume framework for interfacial flows in an open domain that was previous...

BACKGROUND Keratocystic odontogenic tumor (KCOT) is a clinically significant cystic lesion of odontogenic origin. This study aimed to retrospectively review and describe the clinicopathologic features of KCOT and to objectively compare the clinical and histological features of solitary, multiple and recurrent KCOT in a Saudi Arabian population. MATERIAL AND METHODS Biopsy request forms, patho...

Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer is under a flexible elastic sheet are considered as a model for internal waves under an ice-covered ocean. The fluid consists of two layers of constant densities, separated by an interface. The elastic sheet resists bending forces and is mathematically described by a fully nonlinear thin shell model. Ful...

OBJECTIVE To review the radiological management of a solitary pulmonary nodule. DATA SOURCES MEDLINE literature search (1958-2002). STUDY SELECTION All review articles and original articles. Key words for the literature search were 'solitary pulmonary nodule' and 'imaging'. DATA EXTRACTION All relevant information and data. DATA SYNTHESIS The solitary pulmonary nodule remains a perennia...

For a < 0 one obtains solitary patterns having cusps or infinite slopes [2]. They discovered solitary waves, called compactons, with a compact support characterized by the absence of infinite wings or the absence of infinite tails. If a = 1, then (1) has a focusing (+) branch that exhibits compacton solutions. If a = −1, then (1) has a defocusing (−) branch that exhibits solitary pattern soluti...

The paper is devoted to analysis of different models that describe waves in fluid-filled and gas-filled elastic tubes and development of methods of calculation and numerical analysis of solutions with solitary waves and kinks for these models. Membrane model and plate model are used for tube. Two types of solitary waves are found. One-parametric families are stable and may be used as shock stru...

BACKGROUND There are multiple conditions associated with the formation of a solitary choroidal granuloma. However, in many cases, solitary choroiditis remains idiopathic in spite of an extensive systemic evaluation. METHODS A 26-year-old man presented with an asymptomatic pale choroidal lesion that had the features of solitary idiopathic choroiditis. RESULTS Optical coherence tomography and...

Natural isolates of C. elegans exhibit either solitary or social feeding behavior. Solitary foragers move slowly on a bacterial lawn and disperse across it, while social foragers move rapidly on bacteria and aggregate together. A loss-of-function mutation in the npr-1 gene, which encodes a predicted G protein-coupled receptor similar to neuropeptide Y receptors, causes a solitary strain to take...

The amplitude of solitary waves significantly affects the properties of the waves by changing their degree of nonlinearity. The period of solitary waves e.g. decreases nonlinearly with amplitude. Observations of solitary waves propagating under similar stratification conditions, but with different amplitudes, were compared to identify how the wave period depends on wave amplitude under field co...