Resonant multiple wave solutions to some integrable soliton equations*

Project supported by the Yue-Qi Scholar of the China University of Mining and Technology (Grant No. 102504180004) and the 333 Project of Jiangsu Province, China (Grant No. BRA2018320).

Liu Jian-Gen1, 2, Yang Xiao-Jun1, 2, 3, †, Feng Yi-Ying2, 3
       

Characteristics of the resonant multiple wave solution (47) with N1 = 2, N = 4, a1 = a4 = 1, ϕ1 = ϕ2 = ϕ3 = ϕ4 = 0, k1 = k2 = 1, ε1 = ε2 = 1, ξ2 = ξ3 = ξ4 = 1, γ2 = γ3 = γ4 = 1, σ2 = σ3 = σ = 1, y = 0, z = 0. (a) 3D-plot (b) 2D-density plot.