Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field. By choosing the function f in Hirota bilinear form, as...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2021-02-01
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| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2020-0224 |
| _version_ | 1819000909961625600 |
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| author | Seadawy Aly R. Rizvi Syed Tahir Raza Ahmad Sarfraz Younis Muhammad Baleanu Dumitru |
| author_facet | Seadawy Aly R. Rizvi Syed Tahir Raza Ahmad Sarfraz Younis Muhammad Baleanu Dumitru |
| author_sort | Seadawy Aly R. |
| collection | DOAJ |
| description | The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field. By choosing the function f in Hirota bilinear form, as the general quadratic function, trigonometric function and exponential function along with appropriate set of parameters, we find the lump, lump-one stripe, multiwave and breather solutions successfully. We also interpreted some three-dimensional and contour profiles to anticipate the wave dynamics. These newly obtained solutions have some arbitrary constants and so can be applicable to explain diversity in qualitative features of wave phenomena. |
| first_indexed | 2024-12-20T22:40:49Z |
| format | Article |
| id | doaj.art-d08b10b169b74d10ad9aa121e1de43ce |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-12-20T22:40:49Z |
| publishDate | 2021-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-d08b10b169b74d10ad9aa121e1de43ce2022-12-21T19:24:29ZengDe GruyterOpen Physics2391-54712021-02-0119111010.1515/phys-2020-0224Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equationSeadawy Aly R.0Rizvi Syed Tahir Raza1Ahmad Sarfraz2Younis Muhammad3Baleanu Dumitru4Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaDepartment of Mathematics, COMSATS UniversityIslamabad, Lahore Campus, PakistanDepartment of Mathematics, COMSATS UniversityIslamabad, Lahore Campus, PakistanPUCIT, University of the Punjab, Lahore, PakistanDepartment of Mathematics, Cankaya University, Ankara, TurkeyThe aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field. By choosing the function f in Hirota bilinear form, as the general quadratic function, trigonometric function and exponential function along with appropriate set of parameters, we find the lump, lump-one stripe, multiwave and breather solutions successfully. We also interpreted some three-dimensional and contour profiles to anticipate the wave dynamics. These newly obtained solutions have some arbitrary constants and so can be applicable to explain diversity in qualitative features of wave phenomena.https://doi.org/10.1515/phys-2020-0224lump solitonslump-one stripemultiwavesbreathershunter–saxton equationsolitary wave solutions |
| spellingShingle | Seadawy Aly R. Rizvi Syed Tahir Raza Ahmad Sarfraz Younis Muhammad Baleanu Dumitru Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation Open Physics lump solitons lump-one stripe multiwaves breathers hunter–saxton equation solitary wave solutions |
| title | Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation |
| title_full | Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation |
| title_fullStr | Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation |
| title_full_unstemmed | Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation |
| title_short | Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation |
| title_sort | lump lump one stripe multiwave and breather solutions for the hunter saxton equation |
| topic | lump solitons lump-one stripe multiwaves breathers hunter–saxton equation solitary wave solutions |
| url | https://doi.org/10.1515/phys-2020-0224 |
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