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.
ALAM, M., & Li, X. (2020). 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, 8(3), 597-609. doi: 10.22034/cmde.2020.31942.1489
MLA
Md Nur ALAM; Xin Li. "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, 8, 3, 2020, 597-609. doi: 10.22034/cmde.2020.31942.1489
HARVARD
ALAM, M., Li, X. (2020). '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, 8(3), pp. 597-609. doi: 10.22034/cmde.2020.31942.1489
VANCOUVER
ALAM, M., Li, X. 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, 2020; 8(3): 597-609. doi: 10.22034/cmde.2020.31942.1489
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