A generalized (2+1)-dimensional Hirota bilinear equation: integrability, solitons and invariant solutions

Integrability and exact solutions of the (2+1)-dimensional variable coefficient Ito equation

“…Figure 4: Two-line soliton solutions given by(34) and(35) for different variable coefficients and parameters: (a) α(y)= 1 y , β (y) = y 2 , a 1 = −1, a 2 = 2, c 1 = − 1 2 , c 2 = 3, d 1 = 0, d 2 = 0; (b) α(y) = 1 y , β (y) = y, a 1 = −1, a 2 = 3 2 , c 1 = − 1 2 , c 2 = 3, d 1 = 0, d 2 = 0; (c) α(y) = 1 cos y , β (y) = sin y, a 1 = −1, a 2 = 3 2 , c 1 = − 1 2 , c 2 = 3, d 1 = 0, d 2 = 0. Fig.4illustrates the solutions for two-line soliton at t = 0, which are determined by(34).…”