Exact analytical solutions for 3D- Gross–Pitaevskii equation with periodic potential by using the Kudryashov method

Author

Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran

10.1016/j.joems.2014.11.004

Abstract

This paper obtains solutions as well as other solutions to the 3D- Gross–Pitaevskii equation,
which is called the non-linear Schrodinger equation under the conditions of Kudryashov
method that appear in various areas of mathematical physics. This equation describes Bose–
Einstein condensates in the low temperature regime. These new exact solutions will complement
previous results and help further to understand the physical structures

Keywords