Dynamics of exact closed-form solutions to the Schamel Burgers and Schamel equations with constant coefficients using a novel analytical approach

In this paper, we investigate two different constant-coefficient nonlinear evolution equations, namely the Schamel Burgers equation and the Schamel equation. These models also have a great deal of potential for studying ion-acoustic waves in plasma physics and fluid dynamics. The primary goal of this paper is to establish closed-form solutions and dynamics of analytical solutions to the Schamel Burgers and the Schamel equations, which are special examples of the well-known Schamel–Korteweg-de Vries (S-KdV) equation. We derive completely novel solutions to the considered models using a variety of computation programmes and a newly proposed extended generalized [Formula: see text] expansion approach. The newly formed solutions, which include hyperbolic and trigonometric functions as well as rational function solutions, have been produced. The annihilation of three-dimensional shock waves, periodic waves, single soliton, singular soliton, and combo soliton, multisoliton as well as their three-dimensional and contour plots are used to show the dynamical representations of the acquired solutions. These results demonstrate that the proposed extended technique is efficient, reliable and simple.

Extension of the method for identifying crystals in the composition of wine sediment

Одной из функций технохимического контроля в виноделии является обеспечение разливостойкости готовой продукции. Для этого необходима система методов и тестов, позволяющих оценить склонность вин к помутнениям физико-химического характера, также установить причины появления осадков, образующихся в случае недостаточной технологической обработки вин или при нарушениях условий их хранения. В случае кристаллического осадка общепринятым методом идентификации калиевой или кальциевой природы виннокислой соли является воздействие 10 %-ными растворами соляной и серной кислот. Указанные кислоты в более высокой концентрации являются прекурсорами, применение которых строго регламентируется на законодательном уровне. Целью данной работы являлось обоснование возможности применения общедоступных реактивов при анализе кристаллического осадка вин. Объектами исследований являлись растворы неорганических кислот и сульфата натрия в качестве источника сульфат-аниона, кристаллический осадок вин, а также промышленные препараты битартрата калия и тартрата кальция. Показано, что эффективной заменой соляной и серной кислот для растворения кристаллов является азотная кислота. Предложен новый реагент для идентификации калиевой и кальциевой природы осадка, представляющий водный раствор азотной кислоты (10 %) и сульфата натрия (не менее 15 %). Растворение виннокислых кристаллов в капле данного препарата свидетельствует, что кристаллообразующим катионом является калий; появление отдельных звездчатых, игольчатых структур или их сростков демонстрирует присутствие кальция. Усовершенствованная методика предназначена для применения в рамках технохимического контроля в лабораториях винодельческих предприятий, профильных учебных и научных заведений. One of functions of techno-chemical control in winemaking is to ensure wine stability of the finished product after bottling. This requires a system of methods and tests to assess the tendency of wines to haziness of physicochemical nature, as well as to establish the appearance origin of sediment formed as a result of insufficient technological processing of wines or violation of the storage conditions. In the context of crystal sediment, the action of 10% solutions of hydro-chloric and sulfuric acids is a generally accepted method for identifying the potassium or calcium nature of tartrate salts. In a higher concentration, these acids are precursors, using of which is strictly regulated at the legislative level. The purpose of this work was to substantiate the possibility of using generally available reagents in the analysis of crystal sediment of wines. The objects of research were solutions of inorganic acids and sodium sulfate as a source of sulfate-anion, crystal sediment of wines, as well as commercial preparations of potassium bitartrate and calcium tartrate. It is indicated that nitric acid is an effective substitution for hydrochloric and sulfuric acids to dissolve crystals. New reagent, constituting aqueous solution of nitric acid (10%) and sodium sulfate (not less than 15%), is proposed for identifying the potassium or calcium nature of the sediment. Dissolving of tartaric crystals in a drop of this preparation indicates that potassium is a crystal-forming cathion; the appearance of single stellar, needle-like structures or their intergrowth demonstrates presence of calcium. The extended technique is intended for application as a part of techno-chemical control in laboratories of winemaking enterprises, industry-specific educational and scientific institutions.

Irish Fiddle and Western Classical Violin: Listener Perceptions and Acoustical Differences

This report is a summary of two studies. In the first, we compared examples of Irish fiddle performances with Western classical violin performances. Acoustical analyses showed that both classical examples produced average spectral centroids higher in frequency, higher harmonic to noise ratios, more use of vibrato, more disjunct intervals, and less ornamentation. Expert listeners described the classical examples as resonant, ringing, and brighter. Tone in the Irish examples was characterized as varied, gritty, and full-bodied. In the second study, we asked 72 music majors to listen to different recordings and respond in two ways. The first section consisted of extremely brief examples of four different solo violin styles: classical, jazz, old-time fiddle, and Irish. The second section consisted of longer examples of either Irish or classical performances. The listeners were asked to describe salient features of each. They frequently identified the following characteristics of the Irish excerpts: grace notes, double stops, ornamentation, and dance-like. In contrast, classical extracts were described using the terms: vibrato, melody, intervals, and extended technique. Implications for music listening are discussed.

Place As An Extended Technique

In this piece, Ben Zucker profiles Chicago’s Experimental Sound Studio and its decision to move online with a series of livestreamed performances known as The Quarantine Concerts (TQC). He examines the meaning of “place” for virtual gatherings such as TQC, and discusses how musicians have had to rethink what liveness means and how it is practiced under the new constraints.

Time-constrained strong multi-designated verifier signature suitable for Internet of things–based collaborative fog computing systems

Fog computing is viewed as an extended technique of cloud computing. In Internet of things–based collaborative fog computing systems, a fog node aggregating lots of data from Internet of things devices has to transmit the information to distributed cloud servers that will collaboratively verify it based on some predefined auditing policy. However, compromised fog nodes controlled by an adversary might inject bogus data to cheat or confuse remote servers. It also causes the waste of communication and computation resources. To further control the lifetime of signing capability for fog nodes, an appropriate mechanism is crucial. In this article, the author proposes a time-constrained strong multi-designated verifier signature scheme to meet the above requirement. In particular, a conventional non-delegatable strong multi-designated verifier signature scheme with low computation is first given. Based on its constructions, we show how to transform it into a time-constrained variant. The unforgeability of the proposed schemes is formally proved based on the famous elliptic curve discrete logarithm assumption. The security requirement of strong signer ambiguity for our substantial constructions is also analyzed by utilizing the intractable assumption of decisional Diffie–Hellman. Moreover, some comparisons in terms of the signature size and computational costs for involved entities among related mechanisms are made.

A New TOPSIS Methodology Based on Single-Valued Neutrosophic Numbers for Selection of Suitable Roll Stabilizer Type for Motor Yachts

Selection of a suitable stabilization system for motor yachts is a challenging problem for both owners and designers. Also, this is a good sample of multicriteria decision-making problem that includes many criteria required to be assessed at the same time. The present work aims to propose an extended Technique for Order Preference by Similarity to Ideal Solution methodology based on single-valued neutrosophic numbers which represent the uncertainty of real-world applications. A questionnaire was applied to a group of experts who were asked to evaluate four different stabilizer alternatives according to the 15 criteria determined. Evaluations of the experts were analyzed through the proposed methodology, and results were presented and discussed.

Asymptotic Solutions of Fifth Order Overdamped-Oscillatory Nonlinear Systems

Combo overdamp-oscillatory system plays an important role in natural phenomena in many engineering problems. In this paper, fifth order nonlinear damped-oscillatory differential system is studied to investigate an asymptotic analytical approximate solution in the fashion of overdamp-oscillations via an extension of the Krylov-Bogoliubov-Mitropolskii (KBM) method. The proposed method is demonstrated by its applications on a Duffing oscillators in the combined form of overdamp and oscillatory effects. The result obtained by the presented extended technique good agreement with the numerical solutions of the fourth order Runge-Kutta method.

Low-intensity low-frequency magnetotherapy in the early postoperative period in patients with breast cancer

Background. Rehabilitation of patients after radical treatment of breast cancer is especially relevant due to the fact that successes in diagnostics and treatment of this disease in recent years have led to an increase in the life expectancy of female patients. Aim. to compare the efficiency of various methods of low-frequency low-intensity magnetotherapy in patients operated on for breast cancer, in the early terms (24 days) after surgery. Methods. Objective and instrumental examination was performed in 78 patients after radical surgical treatment of breast cancer in the early stages (24 days) after surgery. All patients received a course of low-frequency low-intensity magnetotherapy. Results. When applying the extended technique (the effect on the segmental-reflex region and upper limb from the side of the surgery), patients noted an improvement in the quality of life, a decrease in swelling of the upper limb, and a decrease in pain syndrome. A decrease in the number of postoperative complications and the duration of lymphorrhea was noted. Conclusion. Thus, the use of various methods of low-frequency low-intensity magnetotherapy is advisable to use in the early terms (24 days) after surgical treatment, however, the use of the advanced technique provides high function capabilities and enables to get a more pronounced and lasting clinical result.