The main aim of the dissertation is to present a way for de ning bicategories, double categories, lax and colax functors between them, where the coherence pentagon and the lax comparison cells are implicitly encoded in the system. Besides this, we also study related structures such as Morita contexts. For bicategories we follow Tom Leinster's unbiased approach, and we use profunctors regarded a...

Under investigation in this work is the coupled Sasa-Satsuma equation, which can describe propagations of two optical pulse envelopes birefringent fibers. The Riemann-Hilbert problem for equation formulated on basis corresponding $5 \times 5$ matrix spectral problem, allows us to present a suitable representation solution equation. Then Deift-Zhou steepest descent method used analyze long time ...

ABSTRACT Genetic resistance is the most efficient tool in crop disease management. Peanut smut currently one of important peanut diseases, with its incidence increasing terms both damage level and area covered. The aim this study was to assess response different genotypes obtained by Facultad de Agronomía y Veterinaria Universidad Nacional Río Cuarto (Argentina) their yield. During 2016/17, 201...

In this letter, a definition of the higher dimensional Lax pair for a lower dimensional system which may be a chaotic system is given. A special concrete (2+1)-dimensional Lax pair for a general (1+1)-dimensional three order autonomous partial differential equation is studied. The result shows that any (1+1)-dimensional three order semi-linear autonomous system (no matter it is integrable or no...

This study examines the acoustic characteristics of English high tense and lax vowels (/i, I, u, ʊ/) and the perceptual difference of those vowels between English speakers and Korean speakers of English. In Experiment I, the first three formant values and duration of the four vowels in /hVd/ carrier were measured. The result shows that the high tense vowels have larger F2–F1 values and longer d...

Acoustic data elicited from 34 native speakers of Korean living in the United States provide evidence for diachronic change in the voice onset time (VOT) of phrase-initial aspirated and lax stop phonemes. While older speakers produce aspirated and lax stops with clearly differentiated average VOT values, many younger speakers appear to have neutralized this difference, producing VOTs for aspira...

To guarantee the correction of numerical simulation programs implementing the fi-nite element method, it is necessary to formalize the mathematical notions and results that allowto establish the soundness of the method. The Lax-Milgram theorem is one of those theoreticalcornerstones: under some completeness and coercivity assumptions, it states existence and unique-ness of the s...

In this paper, we mainly investigate the long-time asymptotic behavior of solution for coupled dispersive AB system with weighted Sobolev initial data, which allows soliton solutions via Dbar steepest descent method.Based on spectral analysis Lax pair, Cauchy problem is transformed into a Riemann-Hilbert problem, and its existence uniqueness proved by vanishing lemma. The stationary phase point...

— We discuss a local reduction theorem for 0-parameter solutions of a higher order Painlevé equation and its underlying Lax pair near a simple turning point of the first kind when the size of the Lax pair is greater than 2. As a typical example of such higher order Painlevé equations the Noumi-Yamada systems are mainly considered. Résumé (Sur une réduction locale au voisinage d’un point tournan...