Based on the extended homoclinic test technique, we introduce an ansätz functions to construct double periodic-soliton solutions of new (2 + 1)-Dimensional KdV Equation. Some entirely new double periodic-soliton solutions are obtained. The obtained solutions show that there exist multiple-periodic solitary waves in the different directions for the new (2 + 1)-Dimensional KdV Equation. With the help of symbolic computation, the properties for these new solutions are presented with some figures.

中文翻译：

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新的（2 +1）维KdV方程在流体流动和等离子体物理学中的双周期孤子解

基于扩展的同宿测试技术，我们引入ansätz函数来构造新的（2 +1）维KdV方程的双周期孤子解。得到了一些全新的双周期孤子解。所获得的解表明，对于新的（2 +1）维KdV方程，在不同方向上存在多周期孤立波。在符号计算的帮助下，这些新解决方案的属性将用一些数字表示。