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On soliton solutions of the modified equal width equation
Abstract
PurposeThe soliton solutions are obtained by using extended rational sin/cos and sinh-cosh method. The methods are powerful and have ease of use. Applying wave transformation to the nonlinear partial differential equations (NLPDEs) and the considered equation turns into a nonlinear differential equation (NODE). According to the methods, the solution sets of the NODE are supposed to the form of the rational terms as sinh/cosh and sin/cos and the trial solutions are substituted into the NODE. Collecting the same power of the trigonometric functions, a set of algebraic equations is derived.Design/methodology/approachThe main purpose of this paper is to obtain soliton solutions of the modified equal width (MEW) equation. MEW is a form of regularized-long-wave (RLW) equation that represents one-dimensional wave propagation in nonlinear media with dispersion processes. This is also used to simulate the undular bore in a long shallow water canal.FindingsThus, the solution of the main PDE is reduced to the solution of a set of algebraic equations. In this paper, the kink, singular and singular periodic solitons have been successfully obtained.Originality/valueIllustrative plots of the solutions have been presented for physical interpretation of the obtained solutions. The methods are powerful and might be used to solve a broad class of differential equations in real-life problems
Retrieval optical solitons of perturbed Radhakrishnan-Kundu-Lakshmanan equation
Abstract: In this paper, the soliton behavior of the (2+1)-dimensional perturbed Radhakrishnan-Kundu-Lakshmanan equation utilizing by the new Kudryashov method is investigated. First of all, the nonlinear ordinary differential equation form of the perturbed Radhakrishnan-Kundu-Lakshmanan equation has been obtained by inserting the complex wave transformation into nonlinear partial differential equation form of the perturbed RadhakrishnanKundu-Lakshmanan equation. The algorithm of the proposed method has been expressed and applied to the obtained nonlinear ordinary differential equation. Then, a polynomial expression has been achieved and converted to linear algebraic system. After solving and selecting the appropriate solution set, different soliton solutions of the investigated perturbed Radhakrishnan-Kundu-Lakshmanan equation has been derived. Finally, 3D and 2D graphics of some solutions are depicted for chosen suitable parameter
Effect of constipation on acute urinary retention following transrectal prostate biopsy
Abstract
Purpose: To evaluate the possible effect of constipation on the acute urinary retention (AUR) after transrectal ultrasound-guidedMaterials and Methods: A total of 1,167 patients with prostate-specific antigen (PSA) >4 ng/mL and/or abnormal digital rectal examination underwent a standard 12 core transrectal ultrasound-guided prostate needle biopsy in our hospital and the findings were examined prospectively. Chronic constipation (CC) was defined according to the Rome IV criteria. All cases were well evaluated with respect to clinical-histopathological factors; International Prostate Symptom Score (IPSS), prostate volume, post-voidResults: The mean age of patients was 64.63 +/- 8.31 years, the PSA level was 11.60 +/- 16.83 ng/mL, and the prostate volume was 54.66 +/- 25.44 mL. In 265 cases (22.7%), CC anamnesis was present and AUR developed in 28 (2.4%) of the cases. In the multivariate analysis for the risk of developing urinary retention, prostate volume, pre-operative IPSS, and presence of CC requiring manual maneuvers to facilitate defecation were found to be risk factors (p=0.023, 0.010, and 0.001, respectively).Conclusions: Our findings demonstrated that CC may be a critical factor in the prediction of AUR formation following TRUS PB
Gebelik ve menopozda diş hekimliği yaklaşımı
Diş hekimliğinde multidisipliner yaklaşımların çok önemli olduğu ve bu disiplinler arası sinerjinin sağlandığı oral diagnoz, diş hekimliği ile tıp hekimliği arasında köprü görevini üstlenmektedir. Uzun yıllar bu prensipler çerçevesinde genç hekim arkadaşlarımıza, asistanlarımıza ve uzmanlık öğrencilerimize bu alanda rehber olduğumuza inanıyoruz. Bu rehberliğin oluşturduğu ekolle diş hekimliğinde semptomlar, ayırıcı tanı yöntemleri, tedavi planlamaları, sistemik hastalıklar ve acil durumlardaki değerlendirmelerde didaktik bir yaklaşımla pratik uygulamalı bir bakış açısı geliştirilmiştir. Düşüncelerimiz doğrultusunda daha önceki yıllarda editörlüğünü üstlendiğim “Oral Diagnoz”(1995) ve “Sistemik Yaklaşımlarla Oral Diagnoz” (2007) isimli mevcut kitaplarımızdan sonra gün geçtikçe baş döndürücü bir hızla değişen bilgiler ve klinik yaklaşımların diş hekimliğinde de tezahür etmesiyle güncel kalma ihtiyacı tüm gerçekliğiyle ortadadır. Oral diagnoz alanında yine editörlüğünü üstlendiğim yeni kitabım bu anlayışla yola çıkılarak düzenlenmiştir. Uzun soluklu bu yolculukta, akademik merakı ve etik sorumluluğu yüksek çok değerli hocalarımız olduğu gibi mesleğin başındaki genç hekim arkadaşlarımız da bizlere eşlik etmiştir. Kitabımızda, oral diagnoza giriş ile başlayarak tüm sistemik hastalıkları ve klinikte bu sistemik hastalıklara diş hekimliği yönünden nasıl yaklaşılması gerektiğini de içine alacak şekilde çok geniş yelpazede bilgi sunulmaktadır. Bu bilgi paylaşımları sayesinde ayırıcı tanılarda farklı bakış açıları kazandırmak amaçlanmış olup hem akademik ortamda hem de diş hekimliği pratiğinde meslektaşlarımızla olan etkileşimimiz bizi ayrıca çok mutlu etmektedir. Kıymetli bilgileri ve tecrübelerini aktaran, uzmanlık alanlarındaki birikimlerini sunan tüm yazarlarımıza şükranlarımızı sunuyoruz. Yeni projelerde görüşmek ümidiyle
Optical soliton solutions of Schrödinger–Hirota equation with parabolic law nonlinearity via generalized Kudryashov algorithm
Abstract The aim of this study is to peruse the dispersive Schrödinger–Hirota equation (SH equation) with parabolic law linearity to get optical soliton solutions by utilizing the generalized Kudryashov method (GKM). Firstly, we introduced the solution algorithm of GKM. Then, we substituted the traveling wave transform to dispersive SH equation with parabolic law and gained nonlinear ordinary diferential equation (NODE) form of real and imaginary parts. We successfully applied GKM to the NODE form of dispersive SH equation and obtained the appropriate solution sets. Using these sets, the solution of diferential equation and necessary transformations, we created the analytical solution functions of dispersive SH equation and demonstrated the graphical simulations. Optical soliton solutions were obtained, graphical representations were made and interpreted, at the same time, it was observed that some parameters had an efect on the soliton behavior. The parabolic law form of the examined model has not been studied, and the obtained results have not been reported
Design, synthesis, and evaluation of a new series of hydrazones as small-molecule akt inhibitors for NSCLC therapy
Abstract
In an endeavor to identify small molecules for the managementofnon-small-cell lung carcinoma, 10 new hydrazone derivatives (3a-j) were synthesized. MTT test was conducted to examinetheir cytotoxic activities against human lung adenocarcinoma (A549)and mouse embryonic fibroblast (L929) cells. Compounds 3a, 3e, 3g, and 3i were determinedas selective antitumor agents on A549 cell line. Further studies wereconducted to figure out their mode of action. Compounds 3a and 3g markedly induced apoptosis in A549 cells. However,both compounds did not show any significant inhibitory effect on Akt.On the other hand, in vitro experiments suggest thatcompounds 3e and 3i are potential anti-NSCLCagents acting through Akt inhibition. Furthermore, molecular dockingstudies revealed a unique binding mode for compound 3i (the strongest Akt inhibitor in this series), which interacts withboth hinge region and acidic pocket of Akt2. However, it is understoodthat compounds 3a and 3g exert their cytotoxicand apoptotic effects on A549 cells via differentpathway(s)
Laparoscopic reduction and repair of a mesocolic hernia causing small bowel obstruction: A case report and review of literature
Abstract
Mesocolic hernias are a rare cause of small bowel obstruction that occurs when a loop of small bowel herniates through a defect in the mesocolon. We present a case of a 35-year-old male with a mesocolic hernia causing small bowel obstruction, who was successfully treated with laparoscopic reduction and repair. The patient had an uneventful recovery and was discharged on postoperative day 3. Mesocolic hernias should be considered in the differential diagnosis of small bowel obstruction, and prompt diagnosis and surgical intervention are essential to prevent complications such as bowel ischemia and perforation. Laparoscopic treatment can be a safe and effective option for the management of mesocolic hernias. This case report highlights the clinical presentation, radiological features, and surgical management of mesocolic hernias, with a focus on the role of laparoscopy in the treatment of this rare condition
Aesthetic rehabilitation of the anterior region in the presence of class III lesions and diastema
Abstract
Aim The purpose of this case report is to restore the aesthetic and functional inadequacy of anterior teeth with diastema and class III cavity. Case Report The patient with diastema and class III caries lesions in the anterior region was to receive esthetic rehabilitation with direct composite restoration material in a single visit. After color-matching, isolation was obtained by using a rubber-dam. Nanofil-based composite material was applied in accordance with the manufacturer’s instructions following the usage of two-step self-etch adhesive system. After finishing and polishing, the restorations were finalized. One month later, the patient was called for a control session, and the restorations were evaluated using the USPHS procedure. Conclusion To achieve effective results in the creation of direct composite restorations that are done in a single visit, it is vital to match the appropriate color, use the proper method, isolate the environment, and have clinical experience
Does multiple component intensive pelvic foor muscle training decrease muscle fatigue and symptoms in women with urinary incontinence?
Abstract
Introduction and hypothesisA multiple-component intensive pelvic floor muscle training (MCI-PFMT) protocol was developed as a neurophysiological-based rehabilitation model to improve neuroplasticity. This study aimed to investigate the effects of the MCI-PFMT protocol on muscle fatigue and symptoms in women with urinary incontinence.MethodsThis randomized controlled trial included 49 female patients with mixed urinary incontinence. Participants were divided into the MCI-PFMT group and the control group. The MCI-PFMT group performed supervised intensive pelvic floor muscle training, while the control group received bladder training and standard pelvic floor muscle training as a home program. Both training sessions were conducted 5 days a week for a single week. Participants' symptoms were evaluated with questionnaires, bladder diary, and pad tests. Superficial electromyography, ultrasonography, and the PERFECT scale were used to evaluate pelvic floor and abdominal muscle functions.ResultsIn the post-treatment evaluation, symptoms were decreased in both groups, with a significant decrease in the MCI-PFMT group (p < 0.05). While average and peak work values of pelvic floor muscles, transversus abdominus, and internal oblique muscles increased in both groups, maximum voluntary contraction values of these muscles decreased (p < 0.05). A 12.7% decrease was observed in the maximum voluntary contraction values of pelvic floor muscles in the control group, while a 9.6% decrease was observed in the MCI-PFMT group.ConclusionsThe MCI-PFMT protocol can lead to pelvic floor and abdominal muscle fatigue. However, it may be effective at decreasing symptoms in women with urinary incontinence. Additional studies on this issue are needed
Soliton waves with the (3+1)- dimensional kadomtsev–petviashvili–boussinesq equation in water wave dynamics
Abstract: We examined the (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq (KP-B) equation, which arises not only in fluid dynamics, superfluids, physics, and plasma physics but also in the construction of connections between the hydrodynamic and optical model fields. Moreover, unlike the Kadomtsev–Petviashvili equation (KPE), the KP-B equation allows the modeling of waves traveling in both directions and does not require the zero-mass assumption, which is necessary for many scientific applications. Considering these properties enables researchers to obtain more precise results in many physics and engineering applications, especially in research on the dynamics of water waves. We used the modified extended tanh function method (METFM) and Kudryashov’s method, which are easily applicable, do not require further mathematical manipulations, and give effective results to investigate the physical properties of the KP-B equation and its soliton solutions. As the output of the work, we obtained some new singular soliton solutions to the governed equation and simulated them with 3D and 2D graphs for the reader to understand clearly. These results and graphs describe the single and singular soliton properties of the (3+1)-dimensional KP-B equation that have not been studied and presented in the literature before, and the methods can also help in obtaining the solution to the evolution equations and understanding wave propagation in water wave dynamics