Exact analytical solutions for 3D- Gross–Pitaevskii equation with periodic potential by using the Kudryashov method | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 1, 2016, Pages 49-53 PDF (787.46 K) | ||
| DOI: 10.1016/j.joems.2014.11.004 | ||
| Author | ||
| Ahmad Neirameh | ||
| Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran | ||
| 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 | ||
| Kudryashov method; 3D- Gross–Pitaevskii equation; Solitary wave solutions | ||
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