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...

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Autores principales:	Seadawy Aly R., Rizvi Syed Tahir Raza, Ahmad Sarfraz, Younis Muhammad, Baleanu Dumitru
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	lump solitons lump-one stripe multiwaves breathers hunter–saxton equation solitary wave solutions Physics QC1-999
Acceso en línea:	https://doaj.org/article/d08b10b169b74d10ad9aa121e1de43ce
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spelling	oai:doaj.org-article:d08b10b169b74d10ad9aa121e1de43ce2021-12-05T14:11:01ZLump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation2391-547110.1515/phys-2020-0224https://doaj.org/article/d08b10b169b74d10ad9aa121e1de43ce2021-02-01T00:00:00Zhttps://doi.org/10.1515/phys-2020-0224https://doaj.org/toc/2391-5471The 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.Seadawy Aly R.Rizvi Syed Tahir RazaAhmad SarfrazYounis MuhammadBaleanu DumitruDe Gruyterarticlelump solitonslump-one stripemultiwavesbreathershunter–saxton equationsolitary wave solutionsPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	lump solitons lump-one stripe multiwaves breathers hunter–saxton equation solitary wave solutions Physics QC1-999
spellingShingle	lump solitons lump-one stripe multiwaves breathers hunter–saxton equation solitary wave solutions Physics QC1-999 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
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.
format	article
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.
title	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_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_sort	lump, lump-one stripe, multiwave and breather solutions for the hunter–saxton equation
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/d08b10b169b74d10ad9aa121e1de43ce
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Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation

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