A Lie symmetry method-based approach is proposed for systematically computing general
solutions in closed-form for the mode shape equation of non-uniform and unconventional …

In this paper, we use the symmetry of the Lie group analysis as one of the powerful tools that
deals with the wide class of fractional order differential equations in the Riemann–Liouville …

An extension of the notion of solvable structure for involutive distributions of vector fields is
introduced. It is based on a generalization of the concept of symmetry of a distribution of …

New closed-form exact solutions for the nonlinear Kundu-Eckahus (KE) equation with
generalized coefficients are obtained. A travelling wave transformation reduces the KE …

A wide family of position‐dependent mass damped oscillators affected by an external
potential is investigated. First, a Lagrangian formulation is introduced for the corresponding …

In this study, we pay attention to novel explicit closed-form solutions of optimal control
problems in economic growth models described by Hamiltonian formalism by utilizing …

In this work, we present a new approach to find non-local symmetries and contact
symmetries from the admitted Lie point symmetries of the considered system of nonlinear …

On one hand, we construct λ-symmetries and their corresponding integrating factors and
invariant solutions for two kinds of ordinary differential equations. On the other hand, we …

We investigate variational, Lie and Killing symmetries of the Lagrangian of an essential
class of four-dimensional (pseudo-) Riemannian manifolds, ie, non-reductive homogeneous …

Modelling biological processes is more important to analyse the real biological process in
detail. Solving the modelled mathematical equations associated with the considered …