Multiple solitons, soliton molecules and symmetry analysis for a nonlocal cKP3-4 system

In this paper, a nonlocal form with shifted space and delayed time reversal properties of the cKP3-4 system, which is a combination of the third member and fourth member of the Kadomtsev–Petviashvili (KP) hierarchy, is introduced by using the consistent correlated bang method. The nonlocal cKP3-4 (ncKP3-4) system, which inherits integrable properties of the cKP3-4 system, is converted into a localized system by using the symmetry–antisymmetry separation approach. On this basis, multiple soliton solutions of the ncKP3-4 system are generated from multi-soliton solutions of the cKP3-4 system. Soliton molecules of the ncKP3-4 system are also given by applying velocity resonance mechanism among different solitons. Additionally, the standard Lie group method is carried on the ncKP3-4 system to give its symmetry group and symmetry reduction solutions.