%0 Journal Article
%T Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A ALAM, Md Nur
%A Li, Xin
%D 2020
%\ 08/01/2020
%V 8
%N 3
%P 597-609
%! Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations
%K The $exp(-phi(xi))$-expansion method
%K the fourth order Benjamin-Ono equation
%K BBM equation
%K traveling wave solutions
%K Nonlinear evolution equation
%R 10.22034/cmde.2020.31942.1489
%X 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.
%U https://cmde.tabrizu.ac.ir/article_10523_2917ea233324ddc3d1709c1f21ead5d7.pdf