In this paper we study the generalized variable-coefficient Gardner equations of the form u t+
A (t) unu x+ C (t) u 2 nu x+ B (t) uxx x+ Q (t) u= 0. This class broadens out many other …

The concept of nonlinear self-adjointness given by Ibragimov is applied to a Generalized
Benjamin–Bona–Mahony–Burgers equation. Then, a nonlinear self-adjoint classification …

Linear and nonlinear waves in anisotropic media are used in various fields, eg in
biomechanics, biomedical acoustics, etc. The present paper is devoted to discussion of …

In this paper, by applying the multiplier method we obtain a complete classification of low-
order local conservation laws for a generalized seventh-order KdV equation depending on …

In this work we study a generalized variable-coefficient Gardner equation from the point of
view of Lie symmetries in partial differential equations. We find conservation laws by using …

In this paper, we consider a member of an integrable family of generalized Camassa–Holm
(GCH) equations. We make an analysis of the point Lie symmetries of these equations by …

We consider a family of homogeneous nonlinear dispersive equations with two arbitrary
parameters. Conservation laws are established from the point symmetries and imply that the …

In this article, we consider the model of electrical transmission line for exact solutions and
conservations laws. For this, lie point symmetries are obtained. It is noticed that the equation …

In this paper, Lie-point symmetries and conservation laws for the generalized Grad–
Shafranov equation (GGSE) for symmetric magnetohydrodynamic (MHD) fluids with steady …

By including spectral functions, we obtain nonlocal symmetries equivalent to Lie point
symmetries of the corresponding extended systems for the Boussinesq equation, the …