|
|
Soliton propagation for a coupled Schrödinger equation describing Rossby waves |
Li-Yang Xu(徐丽阳), Xiao-Jun Yin(尹晓军)†, Na Cao(曹娜) and Shu-Ting Bai(白淑婷) |
College of Science, Inner Mongolia Agriculture University, Hohhot 010018, China |
|
|
Abstract We study a coupled Schrödinger equation which is started from the Boussinesq equation of atmospheric gravity waves by using multiscale analysis and reduced perturbation method. For the coupled Schrödinger equation, we obtain the Manakov model of all-focusing, all-defocusing and mixed types by setting parameters value and apply the Hirota bilinear approach to provide the two-soliton and three-soliton solutions. Especially, we find that the all-defocusing type Manakov model admits bright-bright soliton solutions. Furthermore, we find that the all-defocusing type Manakov model admits bright-bright-bright soliton solutions. Therefrom, we go over how the free parameters affect the Manakov model's all-focusing type's two-soliton and three-soliton solutions' collision locations, propagation directions, and wave amplitudes. These findings are useful for setting a simulation scene in Rossby waves research. The answers we have found are helpful for studying physical properties of the equation in Rossby waves.
|
Received: 06 January 2023
Revised: 04 February 2023
Accepted manuscript online: 08 February 2023
|
PACS:
|
02.30.Jr
|
(Partial differential equations)
|
|
04.30.Nk
|
(Wave propagation and interactions)
|
|
05.45.Yv
|
(Solitons)
|
|
Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos. 12102205 and 12161065), the Scientific Research Ability of Youth Teachers of Inner Mongolia Agricultural University (Grant Nos. JC2021001 and BR220126), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (Grant No. 2022QN01003), and the Research Program of Inner Mongolia Autonomous Region Education Department (Grant Nos. NJYT23099 and NMGIRT2208). |
Corresponding Authors:
Xiao-Jun Yin
E-mail: yinxiaojun_2002@163.com
|
Cite this article:
Li-Yang Xu(徐丽阳), Xiao-Jun Yin(尹晓军), Na Cao(曹娜) and Shu-Ting Bai(白淑婷) Soliton propagation for a coupled Schrödinger equation describing Rossby waves 2023 Chin. Phys. B 32 070202
|
[1] Kornhuber K, Coumou D and Vogel E 2020 Nat. Clim. Chang. 10 48 [2] Zhang R G, Yang L G, Liu Q S and Yin X J 2019 Appl. Math. Comput. 346 666 [3] Yang Y Y and Song J 2021 Appl. Math. Lett. 121 107485 [4] Yu D, Zhang Z G and Yang H W 2022 Phys. Lett. 443 128205 [5] Fu L, Chen Y D and Yang H W 2019 Mathematics 7 41 [6] Yu Z Y, zhang Z G and Yang H W 2021 Commun. Theor. Phys. 73 115005 [7] Wang C, Zhang Z G, Li B and Yang H W 2023 Phys. Lett. A 457 128580 [8] Liu P and Lou S Y 2009 Commun. Theor. Phys. 51 27 [9] Tan B K 1996 J. Atmos. Sci. 53 1604 [10] Zhu L H, Zhou W C and Zou L J 2004 Jounal of Nanjing Institute of Meteorology 3 405 (in Chinese) [11] Benney D J and Newell A C 1967 J. Math. Phys. 46 133 [12] Yang J K 1998 Phys. Rev. B 59 2393 [13] Chen S S, Tian B, Sun Y and Zhang C R 2019 Ann. Phys. 531 1900011 [14] Baronio F, Conforti M, Degasperis A, Lombardo S, Onorato M and Wabnitz S 2014 Phys. Rev. Lett. 113 034101 [15] Liu C, Yang R, Yang Z Y and Yang W L 2017 Chaos. 27 083120 [16] Akhmediev N and Ankiewicz A 1997 Solitons: Nonlinear Pulses and Beams, (London: Chapman and Hall) p. 14 [17] Yu W T, Liu W J, Triki H, Zhou Q and Biswas A 2019 Nonlinear Dyn. 97 1253 [18] Kanna T, Lakshmanan M, Dinda P T and Akhmediev N 2006 Phys. Rev. E 73 026604 [19] Wang L L and Liu W J 2020 Chin. Phys. B 29 070502 [20] Ablowitz M J, Biondini G and Ostrovsky L A 2000 Chaos 10 471 [21] Bludov Y V, Konotop V V and Akhmediev N 2009 Phys. Rev. A 80 033610 [22] Scott A C 1984 Phys. Scr. 29 279 [23] El-Tantawy S A, Alharbey R A and Salas A H 2022 Chaos, Solitons, Fractals 155 111776 [24] Sahadevan R, Tamizhmani K M and Lakshmanan M 1986 J. Phys. A: Math. Gen. 19 1783 [25] Liu P, Li Z L and Lou S Y 2010 Appl. Math. Mech. -Engl. Ed. 31 1383 [26] Porubov A V and Parker D F 1999 Wave Motion. 29 97 [27] Makhan'kov V G, Makhaldiani N V and Pashaev O K 1981 Phys. Lett. A 81 161 [28] Makhan'kov V G and Pashaev O K 1982 Theor. Math. Phys. 53 979 [29] Manakov S V 1974 Sov. Phys. JETP 38 248 [30] Ohta Y, Wang D S and Yang J K 2011 Stud. Appl. Math. 127 345 [31] Feng B F 2014 J. Phys. A: Math. Theor. 47 355203 [32] Radhakrishnan R and Lakshmanan M 1995 J. Phys. A: Math. Gen. 28 2683 [33] Zhao Y W, Xia J W and Lü X 2022 Nonlinear Dyn. 108 4195 [34] Yin Y H, Lü X and Ma W X 2022 Nonlinear Dyn. 108 4181 [35] Kumar S, Mohan B and Kumar R 2022 Nonlinear Dyn. 110 693 [36] Zhou Q, Luan Z T, Zeng Z L and Zhong Y 2022 Nonlinear Dyn. 109 3083 [37] Wazwaz A M, Albalawi W and El-Tantawy S A 2022 Optik 255 168673 [38] Yu W T, Liu W J, Triki H, Zhou Q, Biswas A and Belic M R 2019 Nonlinear Dyn. 97 471 [39] Yang X Q, Fan E G and Zhang N 2022 Chin. Phys. B 31 070202 [40] Wang L L, Luan Z T, Zhou Q, Biswas A, Alzahrani A K and Liu W J 2021 Nonlinear Dyn. 104 2613 [41] Chen J C, Chen Y, Feng B F and Zhu H M 2014 Chin. Phys. Lett. 31 110502 [42] Song L J, Xu X Y and Wang Y 2020 Chin. Phys. B 29 064211 [43] Hirota R 1971 Phys. Rev. Lett. 27 1192 [44] Sun Y 2021 Analytic study on several nonlinear models in optical fiber communications, fluids and other fields (Ph.D. Dissertation) (Beijing: Beijing University of Posts and Telecommunications) (in Chinese) |
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|