Ab initio model potentials for the alkaline-earth trimers Be3, Mg3, and Ca3

Many-body model potentials for Be₃, Mg₃, and Ca₃ clusters have been constructed with parameters fitted to the corresponding ab initio many-body energy surfaces calculated at the MP4 (SDTQ) level. These ab initio model potentials are accurate over a wide range of atom-atom distances, and are suitable for molecular dynamics simulation, collision dynamics, and other physical applications.     

The modified simple equation method for solving some fractional-order nonlinear equations

Nonlinear fractional differential equations are encountered in various fields of mathematics, physics, chemistry, biology, engineering and in numerous other applications. Exact solutions of these equations play a crucial role in the proper understanding of the qualitative features of many phenomena and processes in various areas of natural science. Thus, many effective and powerful methods have been established and improved. In this study, we establish exact solutions of the time fractional biological population model equation and nonlinear fractional Klein–Gordon equation by using the modified simple equation method.