Abstract
An exact analytical solution in strongly non-local media with a harmonic potential has been studied. Two-dimensional Bessel solitary wave clusters have been obtained by a self-similar method. The intensity distributions of optical beam with different parameters have been discussed in detail. It is found that the solitary waves have a symmetric necklace distribution and the number of facular points is double the value of the quantum number m. The modulation of the external potential field to the width of light beam is also discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Q Y Li et al, Opt. Commun. 282, 1676 (2009)
A S Desyatnikov et al, J. Opt. Soc. Am. B 19, 586 (2002)
W P Zhong and L Yi, Phys. Rev. A 75, 061801(R) (2007)
D M Deng and Q Guo, Opt. Lett. 32, 3206 (2007)
A W Snyder and D J Mitchell, Science 276, 1538 (1997)
Y R Shen, Science 276, 1520 (1997)
K Ayub et al, Pramana – J. Phys. 91: 83 (2018)
H Y Wu and L H Jiang, Pramana – J. Phys. 89: 40 (2017)
L W Zhao and J L Yin, Pramana – J. Phys. 87: 24 (2016)
Z Bai, W Li and G Huang, Optica 6, 309 (2019)
K Macieszczak et al, Phys. Rev. A 96, 043860 (2017)
H Gorniaczyk et al, Nat. Commun. 7, 12480 (2016)
W Li and I Lesanovsky, Phys. Rev. A 92, 043828 (2015)
D Viscor, W Li and I Lesanovsky, New. J. Phys. 17, 033007 (2015)
W Li, D Viscor, S Hofferberth and I Lesanovsky, Phys. Rev. Lett. 112, 243601 (2014)
O Bang, W Krolikowski, J Wyller and J J Rasmussen, Phys. Rev. E 66, 046619 (2002)
D Mihalache et al, Phys. Rev. E 73, 025601 (2006)
Y V Kartashov, L Torner, V A Vysloukh and D Mihalache, Opt. Lett. 31, 1483 (2006)
Y J He, B A Malomed, D Mihalache and H Z Wang, Phys. Rev. A 77, 043826 (2008)
D Briedis et al, Opt. Express 13, 435 (2005)
C Rostschild et al, Phys. Rev. Lett. 95, 213904 (2005)
W M Adati, J. Phys. Soc. Jpn. 38, 673 (1975)
M R Miura, Backlund transformation (Springer, Berlin, 1978)
J H He, Chaos Solitons Fractals 19, 847 (2004)
Q Guo et al, Phys. Rev. E 69, 016602 (2004)
W P Zhong and M R Belić, Appl. Math. Lett. 38, 122 (2014)
W P Zhong et al, Phys. Rev. A 83, 043833 (2011)
C R Menyuk, D Levi and P Winternitz, Phys. Rev. Lett. 69, 3048 (1992)
W P Zhong and M R Belić, Eur. Phys. J. Plus 129, 234 (2014)
V I Kruglov, A C Peacock and J D Harvey, Phys. Rev. Lett. 90, 113902 (2003)
H Chen, L Yi, D S Guo and P X Lu, Phys. Rev. E 72, 016622 (2005)
H Chen et al, Phys. Lett. A 353, 493 (2006)
W P Zhong et al, J. Phys. B 41, 025402 (2008)
S A Ponomarenk and G P Agrawal, Phys. Rev. Lett. 97, 013901 (2006)
Acknowledgements
This work was supported by the Guiding Foundation of Hubei Provincial Department of Education under Grant No. B2017063 and the Foundation of Wuhan Textile University. The authors also thank the NNS Foundation of China (Grant Nos 11704287, 61505150). The author Sun thanks Prof. Lin Yi for the useful discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sun, YZ., Wu, Q., Wang, M. et al. Solitary waves in strongly non-local media with a harmonic potential. Pramana - J Phys 93, 71 (2019). https://doi.org/10.1007/s12043-019-1832-1
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-019-1832-1