Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
18 - 3
Pages
367 - 376
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925111001659How to use a DOI?
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  -