Symmetry methods are always very useful for discussing the classes of differential equation
solutions. This article focuses on traveling wave structures of the generalized Pochhammer …

The equations in which time derivative appears in the highest order derivative term are
called pseudo-parabolic equations. In this article, we will propose new singular and dark …

The aim of this study is to present the numerical solutions of the higher order singular
nonlinear differential equations using an advanced intelligent computational approach by …

The behaviors of optical solitons with spatio-temporal dispersion of the nonlinear
Schrödinger's equation with Kerr medium is discussed by using diverse integration …

In this paper, the fractional space-time nonlinear Chen-Lee-Liu equation has been
considered using various methods. The investigation of the transition from periodic to quasi …

This work is focused to analyze the generalized Calogero–Bogoyavlenskii–Schiff equation
(GCBSE) by the Lie symmetry method. GCBS equation has been utilized to explain the wave …

As a result of oversimplified anti-cubic non-linearity, we are interested in form optical solitons
to the nonlinear Schrödinger equation (NLSE). The modified G′ G 2 creates new solitons …

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 …

In this paper, we study a fourth-order nonlinear symmetric regularized long-wave equation
which arises in several physical applications including ion sound waves in plasma. This …

The present exploration is concerned with fundamental elements corresponding to the
phase decomposition in (Fe-Cr-Mo) and (Fe-Cr-Cu) ternary composites. For the ternary …