https://doi.org/10.1140/epjp/s13360-024-05770-3
Regular Article
Bright and dark sinks-type solitons for the generalized nonlinear Schrödinger equation in polynomial potential in the presence of external source
1
Department of Physics, Faculty of Sciences, University of Maroua, P.O. Box 46, Maroua, Cameroon
2
Laboratory of Applied Physics and Engineering, Department of Materials Engineering and Natural Resources Valorization, Advanced School of Mines Processing and Energy Resources, University of Bertoua, P.O. Box 416, Bertoua, Cameroon
3
Higher Teachers’ training College of Maroua, P.O. Box 46,, Maroua, Cameroon
4
National Advanced School Polytechnic of Maroua, P.O. Box 46, Maroua, Cameroon
5
The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, I34014, Strada Costiera, Trieste, Italy
Received:
20
May
2024
Accepted:
23
October
2024
Published online:
5
November
2024
We theoretically investigate bright and dark sinks-type solitons, a kink and anti-kink solitons, bi-solitons and the pulsed solitons for the generalized nonlinear Schrödinger equation in polynomial potential in the presence of external source. For the polynomial potential, based on some powerful transformation methods with different types of expressions in Jacobi elliptic functions or polynomial functions, soliton have been discovered for the generalized nonlinear Schrödinger equation featuring external potential and source. We systematically investigate the property of sinks and offer an appropriate analytical formula for their shape. These results may be useful to explain some nonlinear wave phenomena in Bose–Einstein condensates, nonlinear optics and physics of plasma.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
