Rouge Wave, W-Shaped, Bright, and Dark Soliton Solutions for a Generalized Quasi-1D Bose–Einstein Condensate System with Local M-Derivative
In this paper, a generalized quasi-1D Bose–Einstein condensate system with contact repulsion and dipole–dipole attraction (QBECS) and with the local M-derivative of order α is introduced. Using similarity transformation, the generalized QBECS is transformed into the same system but with constant coe...
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| Veröffentlicht in: | Brazilian journal of physics 2022-02, Vol.52 (1), Article 7 |
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| creator | Kader, Abass H. Abdel Latif, Mohamed S. Abdel Baleanu, Dumitru |
| description | In this paper, a generalized quasi-1D Bose–Einstein condensate system with contact repulsion and dipole–dipole attraction (QBECS) and with the local M-derivative of order
α
is introduced. Using similarity transformation, the generalized QBECS is transformed into the same system but with constant coefficients under certain conditions. Finally, the travelling wave transformation is used for getting rogue waves and soliton solutions for the original equation. The effect of the fractional order
α
on the wave profile is discussed using some figures. |
| doi_str_mv | 10.1007/s13538-021-01015-1 |
| format | Article |
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α
is introduced. Using similarity transformation, the generalized QBECS is transformed into the same system but with constant coefficients under certain conditions. Finally, the travelling wave transformation is used for getting rogue waves and soliton solutions for the original equation. The effect of the fractional order
α
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α
is introduced. Using similarity transformation, the generalized QBECS is transformed into the same system but with constant coefficients under certain conditions. Finally, the travelling wave transformation is used for getting rogue waves and soliton solutions for the original equation. The effect of the fractional order
α
on the wave profile is discussed using some figures.</description><subject>Bose-Einstein condensates</subject><subject>Dipoles</subject><subject>General and Applied Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Solitary waves</subject><subject>Traveling waves</subject><issn>0103-9733</issn><issn>1678-4448</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE9OGzEYxa0KpIbABVhZ6jYGezz22MuSBKgUVLUBsbScmW8S02AH25OKrnqBrrghJ-mEVGLX1ZOe3h_ph9Apo2eM0uo8MS64IrRghDLKBGEf0IDJSpGyLNUBGvQuJ7ri_CM6SumB0kLQkg_Qn--hWwK-t1sY4XsyX9kNNCN8Ed1ylUfY-gZPbPyB52HtcvA77bILPuE2RGzxFXiIdu1-QYO_dTY5wib4IiR4_f0ydT5lcB6Pg2_AJ5sBz5976xH_dHmFZ6G2a3xDJhDd1ma3hWN02Np1gpN_OkR3l9Pb8TWZfb36Mv48IzVnOpNGWtlIVZdVDZVaaMZbpalVUhSgqLZ8US9EI7SUkknNpFBtRZVoVdloVVeaD9Gn_e4mhqcOUjYPoYu-vzSF0JrRUtCiTxX7VB1DShFas4nu0cZnw6jZYTd77KbHbt6wG9aX-L6U-rBfQnyf_k_rL2dqhV4</recordid><startdate>20220201</startdate><enddate>20220201</enddate><creator>Kader, Abass H. Abdel</creator><creator>Latif, Mohamed S. Abdel</creator><creator>Baleanu, Dumitru</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-9013-1017</orcidid></search><sort><creationdate>20220201</creationdate><title>Rouge Wave, W-Shaped, Bright, and Dark Soliton Solutions for a Generalized Quasi-1D Bose–Einstein Condensate System with Local M-Derivative</title><author>Kader, Abass H. Abdel ; Latif, Mohamed S. Abdel ; Baleanu, Dumitru</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-d6a6d68c47ce78b913f890a8652e809a3bcb5d596661691658f7085f84d98c793</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Bose-Einstein condensates</topic><topic>Dipoles</topic><topic>General and Applied Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Solitary waves</topic><topic>Traveling waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kader, Abass H. Abdel</creatorcontrib><creatorcontrib>Latif, Mohamed S. Abdel</creatorcontrib><creatorcontrib>Baleanu, Dumitru</creatorcontrib><collection>CrossRef</collection><jtitle>Brazilian journal of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kader, Abass H. Abdel</au><au>Latif, Mohamed S. Abdel</au><au>Baleanu, Dumitru</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rouge Wave, W-Shaped, Bright, and Dark Soliton Solutions for a Generalized Quasi-1D Bose–Einstein Condensate System with Local M-Derivative</atitle><jtitle>Brazilian journal of physics</jtitle><stitle>Braz J Phys</stitle><date>2022-02-01</date><risdate>2022</risdate><volume>52</volume><issue>1</issue><artnum>7</artnum><issn>0103-9733</issn><eissn>1678-4448</eissn><abstract>In this paper, a generalized quasi-1D Bose–Einstein condensate system with contact repulsion and dipole–dipole attraction (QBECS) and with the local M-derivative of order
α
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α
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| subjects | Bose-Einstein condensates Dipoles General and Applied Physics Physics Physics and Astronomy Solitary waves Traveling waves |
| title | Rouge Wave, W-Shaped, Bright, and Dark Soliton Solutions for a Generalized Quasi-1D Bose–Einstein Condensate System with Local M-Derivative |
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