ABSTRACT
In this paper we explore the new analytical soliton solutions of the truncated M-fractional nonlinear ( 1 + 1 ) -dimensional Akbota equation by applying the exp a function technique, Sardar sub-equation and generalized kudryashov techniques. Akbota is an integrable equation which is Heisenberg ferromagnetic type equation and have much importance for the analysis of curve as well as surface geometry, in optics and in magnets. The obtained results are in the form of dark, bright, periodic and other soliton solutions. The gained results are verified as well as represented by two-dimensional, three-dimensional and contour graphs. The gained results are newer than the existing results in the literature due to the use of fractional derivative. The obtained results are very helpful in optical fibers, optics, telecommunications and other fields. Hence, the gained solutions are fruitful in the future study for these models. The used techniques provide the different variety of solutions. At the end, the applied techniques are simple, fruitful and reliable to solve the other models in mathematical physics.
ABSTRACT
In this manuscript, we implement the travelling wave solutions of the fractional (3+1) generalized computational nonlinear wave equation with gas bubbles via application of five mathematical methods. Liquids with gas bubbles primarily arise in various applications like science, engineering, and mathematical physics. The obtained solitary waves solutions have fruitful applications in engineering, science, life, nature and physics. Several novel soliton solutions of concerned model are established in the form of hyperbolic, trigonometric, exponential and rational functions. To handle all calculations and verification of obtained results, computational software Mathematica 12.1 is used. For the demonstration of the physical behaviour of concern model, some solutions are plotted graphical in 2-dimensional and 3-dimensional by imparting specific values to the parameters under constrain conditions. Finally, we intrigue both two and three dimensional to explain the physical behavior of the model.
ABSTRACT
BACKGROUND & AIMS: Ivermectin is a macrocyclic lactone (avermectins) produced by the actinomycete Streptomyces avermitilis. In this experimental study, the effectiveness of intracystic injection of ivermectin was studied as a new approach of percutaneous treatment of cystic echinococcosis. METHODS: Twelve naturally infected sheep were selected and divided into 2 subgroups: treatment group (n = 9) and control group (n = 3). In the treatment group, approximate volume of ivermectin solution needed to achieve an intracystic concentration of 10 microg/mL was injected into cysts, but in the control group, sterile distillated water was applied. No reaspiration was performed at all. RESULTS: In the following period of 6 months, repeated sonography revealed a significant decrease in cyst sizes and progressive solidification of the cysts in the treatment group. In the control group, volumes of the cysts were increased. No major complications occurred during or after the procedure. After 6 months, all sheep were killed and examined for macroscopic and microscopic changes. Pathologic examination in the treatment group showed pericyst hyalinization, inflammatory cells in the cyst wall, degeneration of laminated and germinal membrane, and necrotic material in the cyst cavity. No viable protoscolices or daughter cysts were observed. CONCLUSIONS: Percutaneous treatment of cystic echinococcosis with ivermectin as a scolicidal agent seems to be effective in this animal model.
