TY - JOUR ID - 10523 TI - Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - ALAM, Md Nur AU - Li, Xin AD - School of Mathematical Sciences, University of Science and Technology of China, 230026, Hefei, China. Y1 - 2020 PY - 2020 VL - 8 IS - 3 SP - 597 EP - 609 KW - The $exp(-phi(xi))$-expansion method KW - the fourth order Benjamin-Ono equation KW - BBM equation KW - traveling wave solutions KW - Nonlinear evolution equation DO - 10.22034/cmde.2020.31942.1489 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_10523.html L1 - https://cmde.tabrizu.ac.ir/article_10523_2917ea233324ddc3d1709c1f21ead5d7.pdf ER -