According to the conjecture based on some known facts of integrable models,a new(2+1)-dimensional supersymmetric integrable bilinear system is proposed.The model is not only the extension of the known(2+1)-dimensional negative Kadomtsev-Petviashvili equation but also the extension of the known(1+1)-dimensional supersymmetric Boussinesq equation.The infinite dimensional Kac-Moody-Virasoro symmetries and the related symmetry reductions of the model are obtained.Furthermore,the traveling wave solutions including soliton solutions are explicitly presented.更多还原
According to the conjecture based on some known facts of integrable models, a new (2+1)-dimensional supersymmetric integrable bilinear system is proposed. The model is not only the extension of the known (2+1)-dimensional negative Kadomtsev-Petviashvili equation but also the extension of the known (1+1)-dimensional supersymmetric Boussinesq equation. The infinite dimensional Kac-Moody-Virasoro symmetries and the related symmetry reductions of the model are obtained. Furthermore, the traveling wave solutions including soliton solutions are explicitly presented.