On the multi-spin magnon and spike solutions from membranes

TL;DR

This paper explores classical rotating membrane solutions analogous to string spikes, revealing finite energy differences and spins, and extends the understanding of solitonic membrane configurations in theoretical physics.

Contribution

It introduces membrane analogs of string spike solutions using the Neumann-Rosochatius integrable system, highlighting their finite energy and spin properties.

Findings

Membrane solutions analogous to string spikes were constructed.

Finite energy difference and spins characterize these membrane solutions.

The Neumann-Rosochatius system is used to analyze membrane configurations.

Abstract

Recently important classes of solitonic string solutions were obtained - giant magnons and single spikes. In previous study we showed the existence of giant magnon-like membrane solutions and studied their properties. In this paper we investigate classical rotating membranes representing analog of a specific class of string spiky solutions. Using the reduction to the Neumann-Rosochatius integrable system we find analog of the string single spike solutions. In contrast to the magnon-like solutions, this case is characterized with finite difference of energy and ``winding number'' and finite spins as well.