Solitons and singular solitons for the Gardner–KP equation

We present in this work a reliable treatment for the Gardner–KP (GKP) equation. The Hirota’s bilinear method is used to obtain multiple-soliton solutions for this completely integrable equation. Multiple singular soliton solutions are obtained as well. The study highlights a variety of multi-solitary wave and multi-singular solitary solutions of the Gardner–KP equation.