For partial differential equations (PDEs) that have n≥ 2 independent variables and a
symmetry algebra of dimension at least n− 1, an explicit algorithmic method is presented for …

In this article, we investigate two types of double dispersion equations in two different
dimensions, which arise in several physical applications. Double dispersion equations are …

A universal KP-like equation in 2+ 1 dimensions, which models general nonlinear wave
phenomena exhibiting p-power nonlinearity, dispersion, and small transversality, is studied …

In this paper, a variable-coefficient modified Kadomtsev–Petviashvili (vcmKP) system is
investigated by modeling the propagation of electromagnetic waves in an isotropic charge …

The generalized Drinfeld-Sokolov system is a widely-used model that describes wave
phenomena in various contexts. Many properties of this system, such as Hamiltonian …

A nonlinear p-power generalization of the integrable modified Kadomtsev-Petviashvili (mKP)
equation is studied. For all powers p> 0, the explicit line soliton solutions are derived and …

The generalized Drinfeld-Sokolov system is a widely-used model that describes wave
phenomena in various contexts. Many properties of this system, such as Hamiltonian …

In this article, we investigate two types of double dispersion equations in two different
dimensions, which arise in several physical applications. Double dispersion equations are …