Nonlinear chains of atoms (NCA) are complex systems with rich dynamics, that influence
various scientific disciplines. The lie symmetry approach is considered to analyze the NCA …

The (G′/G)-expansion scheme is used to execute many wave results for the partial
differential equation, namely, the nonlinear extended quantum Zakharov–Kuznetsov …

In this article, the generalized Jacobi elliptic function expansion method with four new Jacobi
elliptic functions was used to the generalized fractional (3+ 1)-dimensional Kadomtsev …

In this paper, the nonlinear (1+ n)-dimensional generalized Camassa–Holm Kadomtsev–
Petviashvili (g-CH-KP) equation is examined using Lie theory. Lie point symmetries of the …

In this research article, the (3+ 1) dimensional nonlinear Gardner-Kadomtsov–Petviashvili
(Gardner-KP) equation, demonstrating the nonlinear modulation of periodic waves, has …

We take into account the bifurcation analysis of the generalized Pochhammer-Chree (PC)
equation that describes the dynamics of several systems in science and engineering. The …

The nonlinear breaking soliton model is one of the important nonlinear evolution equations,
which plays a significance role to explain the solitary wave propagation in shallow water …

Abstract In this paper, the (3+ 1)-dimensional defocusing Gardner-KP equation is
investigated again with the help of Lie symmetry method since the results are either …

The (3+ 1)-dimensional hyperbolic nonlinear Gardner–Kadomtsov–Petviashvili (GKP)
equation is a mathematical model that describes the propagation of nonlinear waves in a …

In this paper, Lie symmetry analysis method is applied to the (2+ 1)-dimensional time
fractional Kadomtsev-Petviashvili (KP) equation with the mixed derivative of Riemann …