A Generalization of the Submodel of Nonlinear CP^1 Models

TL;DR

This paper extends the nonlinear CP^1 models by incorporating higher order derivatives, providing new solution transformations and conserved quantities through Bell polynomial techniques.

Contribution

It introduces a generalized submodel of nonlinear CP^1 models with higher order derivatives, along with a Bäcklund-like transformation and infinite conserved currents.

Findings

Constructed a Bäcklund-like transformation for the generalized models

Derived an infinite number of conserved currents

Extended the submodel to include higher order derivatives

Abstract

We generalize the submodel of nonlinear CP^1 models. The generalized models include higher order derivatives. For the systems of higher order equations, we construct a B\"acklund-like transformation of solutions and an infinite number of conserved currents by using the Bell polynomials.