Different approaches to construct first integrals for ordinary differential equations and
systems of ordinary differential equations are studied here. These approaches can be …

In this article, conservation laws and exact analytical solutions of resonant nonlinear
Schrödinger's equation with parabolic nonlinearity are discussed. we implemented Modified …

This paper is an application of the variational derivative method to the derivation of the
conservation laws for partial differential equations. The conservation laws for (1+ 1) …

The multiplier approach (variational derivative method) is used to derive the conservation
laws for some nonlinear systems of partial differential equations. Firstly, the multipliers …

The present review is intended to encompass the applications of symmetry based
approaches for solving non‐Newtonian fluid flow problems in various physical situations …

We study here the Lie symmetries, conservation laws, reductions, and new exact solutions of
(2+ 1) dimensional Zakharov‐Kuznetsov (ZK), Gardner Kadomtsev‐Petviashvili (GKP), and …

The Lie symmetry analysis is applied to study the Ablowitz–Kaup–Newell–Segur (AKNS)
system of water wave model. The AKNS system can be obtained from a dispersive-wave …

Compactons were introduced as solutions of nonlinear dispersive partial differential
equations. There exists a variety of third-order equations that support compacton solutions …

In this paper, we consider (1+ n)‐dimensional Zakharov‐Kuznetsov (ZK) equation for
nonlinear self‐adjointness and symmetries. It is proved that the equation is nonlinearly self …

The conservation laws for Prandtl's boundary layer equations for an incompressible fluid
governing the flow in radial and two-dimensional jets are investigated. For both radial and …