Volume 18, Issue 3, September 2011, Pages 367 - 376
Exact Solutions of the Modified Gross–Pitaevskii Equation in “Smart“ Periodic Potentials in the Presence of External Source
Authors
Thokala Soloman Raju
Department of Physics, Karunya University, Coimbatore 641114, India,solomonr_thokala@gmail.com
Prasanta K. Panigrahi
Indian Institute of Science Education and Research (IISER), Salt Lake, Kolkata 700106, India,pprasanta@iiserkol.ac.in
Received 8 October 2010, Accepted 13 December 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001659How to use a DOI?
- Keywords
- Modified Gross–Pitaevskii equation; Jacobian elliptic potentials; external source; fractional transform; solitonlike solutions
- Abstract
We report wide class of exact solutions of the modified Gross–Pitaevskii equation (GPE) in “smart” Jacobian elliptic potentials, in the presence of external source. Solitonlike solutions, singular solutions, and periodic solutions are found using a recently developed fractional transform in which all the amplitude parameters are nonzero. These results generalize those contained in (T. Paul, K. Richter and P. Schlagheck, Phys. Rev. Lett. 94 (2005) 020404.) for nonzero trapping potential.
- Copyright
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Thokala Soloman Raju AU - Prasanta K. Panigrahi PY - 2021 DA - 2021/01/07 TI - Exact Solutions of the Modified Gross–Pitaevskii Equation in “Smart“ Periodic Potentials in the Presence of External Source JO - Journal of Nonlinear Mathematical Physics SP - 367 EP - 376 VL - 18 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001659 DO - 10.1142/S1402925111001659 ID - Raju2021 ER -