In this manuscript, the Lie point symmetries, conservation laws, and traveling wave
reductions have all been derived. Also, new forms of soliton solutions of generalized q …

Nonlinear wave equations are generated by the elastic wave propagation through inelastic
material. We studied such a unidirectional nonlinear elastic wave by considering potential …

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 …

Nonlinear partial differential equations emerge in an extensive variants of physical problems
inclusive of fluid dynamics, solid mechanics, plasma physics, quantum field theory as well as …

In this work, we analytically examine a (3+ 1)-dimensional generalized Korteweg-de Vries-
Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non …

In this work, we examine a nonlinear partial differential equation of fluid mechanics, namely,
the generalized nonlinear advection–diffusion equation, which portrays the motion of …

For systems of partial differential equations in three spatial dimensions, dynamical
conservation laws holding on volumes, surfaces, and curves, as well as topological …

The nonlinear phenomena in numbers are modelled in a wide range of fields such as
chemical physics, ocean physics, optical fibres, plasma physics, fluid dynamics, solid-state …

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 …

Conservation laws of the Hunter–Saxton equation for liquid crystal are constructed by using
multipliers. Based on the obtained conservation laws, we construct a tree of partial …