A (2+1)-dimensional new generalized Korteweg-de Vries (ngKdV) equation is educed from a bilinear differential equation by combining the logarithmic transformation $u=2{(lnf)}_x$. Depending on bilinear equation, we can compute the Hirota N-soliton condition and N-soliton solutions. The D'Alembert type waves of the (2+1)-dimensional ngKdV equation are shown via introducing traveling-wave variables. By dealing with the matching bilinear form, the multiple solitary solution that should fulfill the velocity resonance condition is found in the egKdV equation. Some of the figures of two-soliton molecules and three-soliton molecules are obtained by determining the appropriate arguments.

结合对数变换，从双线性微分方程推导出(2+1)维新广义Korteweg-de Vries (ngKdV)方程 $你=2{(升nF)}_X$. 根据双线性方程，我们可以计算 Hirota N-孤子条件和 N-孤子解。通过引入行波变量显示了 (2+1) 维 ngKdV 方程的 D'Alembert 型波。通过处理匹配的双线性形式，在egKdV方程中找到了满足速度共振条件的多重孤解。一些二孤子分子和三孤子分子的图形是通过确定适当的参数得到的。