Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation
We investigate the rational solitons of the nonlinear (3+1)-dimensional Geng (NG)-equation via symbolic computation with ansatz functions technique and the logarithmic transformation. The (3+1) NG-equation uses in shallow water wave dynamics. Multiwave solitons are reported by using three-waves tech...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723006150 |
| _version_ | 1827815840113754112 |
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| author | Sarfaraz Ahmed Aly R. Seadawy Syed T.R. Rizvi Ali M. Mubaraki |
| author_facet | Sarfaraz Ahmed Aly R. Seadawy Syed T.R. Rizvi Ali M. Mubaraki |
| author_sort | Sarfaraz Ahmed |
| collection | DOAJ |
| description | We investigate the rational solitons of the nonlinear (3+1)-dimensional Geng (NG)-equation via symbolic computation with ansatz functions technique and the logarithmic transformation. The (3+1) NG-equation uses in shallow water wave dynamics. Multiwave solitons are reported by using three-waves technique. Homocentric breathers (HBs) approach is also applied to built new forms of exact solutions. Furthermore periodic cross rational solitons (PCRS) and kink cross rational solitons (KCRS) are examined through suitable transformations. We construct M-shape solitons and their dynamics are shown via the appropriate values of parameters. Additionally, two types of interactions for rational soliton with kink wave are investigated. |
| first_indexed | 2024-03-12T00:06:23Z |
| format | Article |
| id | doaj.art-a36c535dc2b343e39616b8053418cd32 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-12T00:06:23Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-a36c535dc2b343e39616b8053418cd322023-09-17T04:56:21ZengElsevierResults in Physics2211-37972023-09-0152106822Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equationSarfaraz Ahmed0Aly R. Seadawy1Syed T.R. Rizvi2Ali M. Mubaraki3Department of Mathematics, COMSATS University Islamabad, Lahore Campus, PakistanMathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, 41411, Saudi Arabia; Corresponding author.Department of Mathematics, COMSATS University Islamabad, Lahore Campus, PakistanDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaWe investigate the rational solitons of the nonlinear (3+1)-dimensional Geng (NG)-equation via symbolic computation with ansatz functions technique and the logarithmic transformation. The (3+1) NG-equation uses in shallow water wave dynamics. Multiwave solitons are reported by using three-waves technique. Homocentric breathers (HBs) approach is also applied to built new forms of exact solutions. Furthermore periodic cross rational solitons (PCRS) and kink cross rational solitons (KCRS) are examined through suitable transformations. We construct M-shape solitons and their dynamics are shown via the appropriate values of parameters. Additionally, two types of interactions for rational soliton with kink wave are investigated.http://www.sciencedirect.com/science/article/pii/S2211379723006150Homoclinic breathersRational solitonsThe (3+1)-dimensional Geng equationAnsatz functions approach |
| spellingShingle | Sarfaraz Ahmed Aly R. Seadawy Syed T.R. Rizvi Ali M. Mubaraki Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation Results in Physics Homoclinic breathers Rational solitons The (3+1)-dimensional Geng equation Ansatz functions approach |
| title | Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation |
| title_full | Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation |
| title_fullStr | Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation |
| title_full_unstemmed | Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation |
| title_short | Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation |
| title_sort | homoclinic breathers and soliton propagations for the nonlinear 3 1 dimensional geng dynamical equation |
| topic | Homoclinic breathers Rational solitons The (3+1)-dimensional Geng equation Ansatz functions approach |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723006150 |
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