Nonlinear differential-difference equations appear in optics, condensed matter physics,
plasma physics and other fields. In this paper, we investigate a nonlinear differential …

In the current work, we study the coupled Schrödinger–KdV (CS–KdV) equation. The Lie
point symmetry generators are derived for the CS–KdV equation. We also show that the CS …

The shallow water wave model is one of the completely integrable models illustrating many
physical problems. In this article, we investigate new exact wave structures to Kadomtsev …

In this paper, the non-linear for the small long amplitude waves in two dimensional (2D)
shallow water waves propagation with free surface are considered. The shallow water wave …

An improved test function method for finding double-periodic soliton and non-traveling wave
solutions of integrable systems with variable coefficients is proposed and applied to solve …

In this paper, non-linear propagation of oscillatory and monotonous DIA shocks in dusty
plasma with dust charge fluctuations and small isothermal deviation of electrons is …

In this article, we focuss primarily on a (3+ 1)-dimensional nonlinear equation in fluids and
the dynamic behaviour of the lump solution and new interaction solutions of the equation …

Abstract The (2+ 1)-dimensional time-fractional chiral non-linear Schrödinger equation in
physical media is considered in this paper. At the outset, the Lie group analysis is applied to …

The temporal-second-order KdV equation, which describes the propagation of two wave
modes with different phase velocities and same dispersion relation, nonlinearity and …

In this paper, we consider the time-fractional coupled Gerdjikov-Ivanov (GI) equation within
quanta field theory. Primarily, we construct an analytical solution for the considered equation …