# Alice-Bob Peakon Systems

**Authors:** Senyue Lou, Zhijun Qiao

arXiv: 1705.07395 · 2017-11-22

## TL;DR

This paper introduces a non-local Alice-Bob peakon system derived from an integrable peakon system, demonstrating the existence of peakon solutions within this new non-local framework.

## Contribution

It presents a novel non-local Alice-Bob peakon system constructed via the Alice-Bob non-local KdV approach, expanding the class of integrable peakon equations.

## Key findings

- Non-local integrable peakon equations are derived.
- The system admits peakon solutions.
- The approach extends the scope of integrable peakon models.

## Abstract

In this letter, we study the Alice-Bob peakon system generated from an integrable peakon system through using the strategy of the so-called Alice-Bob non-local KdV approach [13]. Non-local integrable peakon equations are obtained and shown to have peakon solutions.

## Full text

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## Figures

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## References

19 references — full list in the complete paper: https://tomesphere.com/paper/1705.07395/full.md

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Source: https://tomesphere.com/paper/1705.07395