In this paper we studied the 2D Kundu–Mukherjee–Naskar model which governs many
nonlinear processes from various fields of Physics, as for example the propagation of the …

This paper presents the functional expansion approach as a generalized method for finding
traveling wave solutions of various nonlinear partial differential equations. The approach …

The paper considers a simple and well-known method for reducing the differentiability order
of an ordinary differential equation, defining the first derivative as a function that will become …

In this paper, we have approached a complicated nonlinear wave equation which links the
Rosenau–Kawahara equation to the regularized long wave (RLW) equation. Taking …

The generalized conditional symmetry (GCS) method is applied to a specific case of the
Grad–Shafranov (GS) equation, in cylindrical geometry assuming the existence of an axial …

A (2+ 1)-dimensional fourth order Burgers–KdV equation with variable coefficients (vcBKdV)
is studied here and interesting wave-type solutions with variable amplitudes and velocities …

This paper considers issues such as integrability and how to get specific classes of solutions
for nonlinear differential equations. The nonlinear Kundu–Mukherjee–Naskar (KMN) …

This paper uses the attached flow method for solving nonlinear second-order differential
equations of the reaction–diffusion type. The key steps of the method consist of the …

This paper is trying to clarify recent published results related to a generalized version of 2D
Burgers-KdV equation. The generalization consists in considering a nonlinearity of the form …

In this paper, we present new dynamical properties of the two-mode Caudrey–Dodd–Gibbon
(TMCDG) equation. This equation describes the propagation of dual waves in the same …