Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations

	Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations
Computational Methods for Differential Equations
مقاله 15، دوره 8، شماره 3، آبان 2020، صفحه 597-609 اصل مقاله (3.58 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.31942.1489
نویسندگان
Md Nur ALAM^* ؛ Xin Li
School of Mathematical Sciences, University of Science and Technology of China, 230026, Hefei, China.
چکیده
A cusp, bright breathers, dark breathers, kink, bright rogue waves and some soliton waves solutions are obtained by using the $exp(-\phi(\xi))$-expansion method for the fourth order Benjamin-Ono equation and BBM equations. The obtained solutions might be indicated and meaningful for narrating the physical phenomena in the real-world. For compatible values of the arbitrary parameter included in the solution, We plot the 3D surface of the all obtained solutions in this paper which are shown in Figures 1 to 10.
کلیدواژه‌ها
The $exp(-\phi(\xi))$-expansion method؛ the fourth order Benjamin-Ono equation؛ BBM equation؛ traveling wave solutions؛ nonlinear evolution equation

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