Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation

Open Physics

Ahmad Sarfraz¹  Rizvi Syed Tahir Raza¹  Baleanu Dumitru²  Seadawy Aly R.³  Younis Muhammad⁴ 

[1] Department of Mathematics, COMSATS UniversityIslamabad, Lahore Campus, Pakistan;Department of Mathematics, Cankaya University, Ankara, Turkey;Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia;PUCIT, University of the Punjab, Lahore, Pakistan;

关键词: lump solitons;    lump-one stripe;    multiwaves;    breathers;    hunter–saxton equation;    solitary wave solutions;   

DOI  :  10.1515/phys-2020-0224

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown