# A dressing method for soliton solutions of the Camassa-Holm equation

**Authors:** Rossen Ivanov, Tony Lyons, Nigel Orr

arXiv: 1702.01128 · 2024-10-25

## TL;DR

This paper presents a dressing method to derive soliton solutions of the Camassa-Holm equation, confirming known solutions and providing an alternative derivation approach.

## Contribution

Introduces a dressing method for deriving soliton solutions of the Camassa-Holm equation, offering an alternative to existing methods.

## Key findings

- One and two soliton solutions match known forms.
- Dressing method successfully derives soliton solutions.
- Provides a new approach for solving the Camassa-Holm equation.

## Abstract

The soliton solutions of the Camassa-Holm equation are derived by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form obtained by other methods.

## Full text

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## Figures

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## References

42 references — full list in the complete paper: https://tomesphere.com/paper/1702.01128/full.md

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Source: https://tomesphere.com/paper/1702.01128