In this paper, we will investigate a famous model of nonlinear sciences namely (2+ 1)-
dimensional nonlinear spin dynamics of Heisenberg ferromagnetic spin chains (HFSC) …

The direct method for the construction of local conservation laws of partial differential
equations (PDE) is a systematic method applicable to a wide class of PDE systems (S. Anco …

According to the tools of linear algebra and calculus of variations, the conservation laws of
Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated …

In this paper, using the Lie symmetry method, we obtain the Lie symmetry group of the
potential modified Korteweg–de Vries (potential mKdV) equation, and we construct the …

In this article, we will mainly focus on finding the Lie symmetries of a couple of models like
the famous generalized mixed nonlinear Schrödinger equation and Degasperis Procesi …

In the current article, we will apply the scaling invariance technique to find conservation laws
(CLs) for the nonlinear Chiral Schrödinger equation (NLCSE) with variable coefficients and …

A recursion operator is an integro-differential operator which maps a generalized symmetry
of a nonlinear partial differential equation (PDE) to a new symmetry. Therefore, the existence …

The conservation laws for the integrable coupled KDV type system, complexly coupled kdv
system, coupled system arising from complex‐valued KDV in magnetized plasma, Ito …

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 …