New Multiple Solution to the Boussinesq Equation and the Burgers-Like Equation

By considering an improved tanh function method, we found some exact solutions of Boussinesq and Burgers-like equations. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions. We found some exact solutions of the Boussinesq equation and the Burgers-like equation

AN APPLICATION OF THE NEW FUNCTION METHOD FOR A COUPLED SINE-GORDON EQUATION

WOS: 000448986500010We consider the coupled sine-Gordon equation to obtain new exact traveling wave solutions by using a new function method. This new function method is based on the trial equation phi = f (cos phi). On the other hand, the behavior of the wave solutions to the coupled sine-Gordon equation is given via two and three dimensional plots

Special issue of the 2nd International Conference on Computational Mathematics and Engineering Sciences (CMES2017)

In this study, a new approach that assumes u f u cos and u f u sinh is applied to construct the traveling wave solutions of the (N 1)-dimensional double sine-Gordon and (N 1)-dimensional double sinh-coshGordon equations. Some new elliptic integral function solutions are respectively obtained by this method, and then these solutions are converted into the Jacobi elliptic function solutions. According these results, one can easily see that this method is very effective mathematical tool for the (N1)-dimensional nonlinear physical problems

Special issue of the 2nd International Conference on Computational Mathematicsand Engineering Sciences (CMES2017)

This paper applies a new approach including the trial equation based on the exponential function in order to find new traveling wave solutions to Zhiber-Shabat equation. By the using of this method, we obtain a new elliptic integral function solution. Also, this solution can be converted into Jacobi elliptic functions solution by a simple transformation

Complex Acoustic Gravity Wave Behaviors to a Mathematical Model Arising in Nonlinear Mathematical Physics

In this article, we utilize the powerful sine-Gordon expansion method (SGEM) in constructing some new solutions to the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation by using the Mathematica software. We successfully obtain some new travelling solutions bearing some new structures such as trigonometric function, exponential function and hyperbolic function structures. We claim that some of our results are complex in structure. All the solutions obtained verified the the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation. To illustrate our results, present the numerical simulation of all the obtained solutions in this study by selecting appropriate values of the parameters. Furthermore, we give the physical interpretation of all the graphics. We also give the physical meaning to some of the obtained results in this study

Surgical Management of Liver Hydatid Cyst Related Non-traumatic Emergencies: Single Center Experience

Background: Vast majority of complaints and physical examination findings of hydatid disease are common in emergency room patients. Different emergency presentations of hydatid cyst disease and their treatment are evaluated. We studied preoperative laboratory findings of these patients to identify any parameters to predict hydatid cyst-biliary system communication. Methods: We reviewed the files of patients who underwent emergency surgery due to liver hydatid cysts and related conditions between March 2010 and March 2014 in Ankara Numune Research and Training Hospital, Turkey, retrospectively. Patients were grouped, regarding to the presence of biliary system involvement. Results: Twelve patients (9 males, 3 females) were included. We identified two groups. Biliary system involved group (n=9) had significantly higher pre-operative gamma glutamine transferase and alkaline phosphatase levels (P=0.036). No significant difference was noted regarding other pre-operative laboratory findings. Mortality rate was 17%. Conclusion: Medical literature lacks sufficient information about hydatid disease related non-traumatic emergency surgeries. Preoperative elevated gamma glutamyl transferase and alkaline phosphatase levels may be questioned as a warning about cyst-biliary communication in hydatid cyst patients with abdominal pain in the emergency room. Future studies with larger sample sizes are needed. In addition, prolongation of the time before diagnosis in these patients may result in life threatening complications

Complex Acoustic Gravity Wave Behaviors to a Mathematical Model Arising in Nonlinear Mathematical Physics

In this article, we utilize the powerful sine-Gordon expansion method (SGEM) in constructing some new solutions to the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation by using the Mathematica software. We successfully obtain some new travelling solutions bearing some new structures such as trigonometric function, exponential function and hyperbolic function structures. We claim that some of our results are complex in structure. All the solutions obtained verified the the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation. To illustrate our results, present the numerical simulation of all the obtained solutions in this study by selecting appropriate values of the parameters. Furthermore, we give the physical interpretation of all the graphics. We also give the physical meaning to some of the obtained results in this study

Mathematical

In this paper, using the Extended Trial Equation (ETEM), we get new traveling wave solutions of the Generalized Benjamin, the Generalized Burger-Kdv Equations (GBE, GBKE). The obtained solutions not only constitute a novel analytical viewpoint in nonlinear complex phenomena, but they also form a new stand alone basis from which physical applications in this arena can be comprehended further, and moreover investigated. Furthermore, to concretely enrich this research production, we provide illustrative, Mathematica Release 7 based, 3D graphics of the gotten solutions, with well chosen, yet structure revealing parameters