The N-soliton solution of the (2+1)-dimensional Nizhnik–Novikov–Veselov equation is constructed. The line soliton molecule, the breather and the lump soliton are presented successively for N = 2. The three-soliton molecule structure, interaction of one-soliton molecule and a line soliton, the soliton molecules consisting of a line soliton and the breather/lump soliton of the solution u are constructed for N = 3. Moreover, the four-soliton molecule structure, interaction of the soliton molecule and a line soliton, the soliton molecule consisting of the line soliton molecule and a lump soliton, the elastic interaction between the line soliton molecule and a lump soliton, the soliton molecules consisting of the line soliton molecule and the breather, two breather solitons, the breather soliton and a lump of the variable u for this equation are also derived for N = 4 by applying the velocity resonance, the module resonance of wave number and the long-wave limit ideas. To illustrate these phenomena, the analysis explicit solutions are all given and their dynamics features are all displayed through figures.

中文翻译：

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(2+1) 维 Nizhnik–Novikov–Veselov 方程中的孤子分子

这ñ构造了(2+1)维Nizhnik-Novikov-Veselov方程的孤子解。线孤子分子、呼吸器和团孤子依次呈现为ñ = 2. 三孤子分子结构，一孤子分子与线孤子的相互作用，孤子分子由线孤子和溶液的呼吸/团块孤子组成你为ñ = 3. 此外，四孤子分子结构，孤子分子和线孤子的相互作用，线孤子分子和块孤子组成的孤子分子，线孤子分子和块孤子之间的弹性相互作用，孤子分子组成线孤子分子和呼吸器，两个呼吸器孤子，呼吸器孤子和一个变量的块你对于这个方程也导出为ñ = 4应用速度共振、波数模共振和长波极限思想。为说明这些现象，均给出了分析显式解，并通过图形显示了其动力学特征。