Solitary Wave Solutions and Periodic Wave Solutions of the B(m,n) Equation with Generalized Evolution Term

Lump periodic wave, soliton periodic wave, and breather periodic wave solutions for third-order (2+1)-dimensional equation

“…In figure (14), We illustrate three-dimensional plots and contour plot when t = −3, 0, 3 of Eq. (29). We note that in this case, the graph obtained is always a lump type wave.…”

“…Luo [28] investigates the exact oneperiodicand two-periodic wave solutions for the differential-difference KP equation by using the Riemann theta functions. Li [29] investigates the solitary wave solutions and periodic wave solutions of the K(m, n) equation with t-dependent coefficients by using the Exp-function method combined with F-expansion method. Zhang et al [10] have constructed the periodic wave solutions for the (2+1)-dimensional Boussinesq equation and (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation with help of the Hirota bilinear method and Riemann theta function.…”

Solitary Wave Solutions and Periodic Wave Solutions of theK(m,n)Equation witht-Dependent Coefficients

“…In this section, we review the combining of the Exp-function method with -expansion method [14,15] at first.…”

“…By dint of some new methods for obtaining exact solutions of nonlinear evolution equations, many new results have been published in this area for a long time. Here, it is worth to mention that the two methods, the Exp-function method [1][2][3][4] and -expansion method [5][6][7][8], can be combined to form one method [9][10][11][12][13][14][15].…”