# On a modified Vakhnenko-Parkes equation

**Authors:** Sergei Sakovich

arXiv: 1812.11351 · 2019-08-08

## TL;DR

This paper demonstrates that the recently introduced modified Vakhnenko-Parkes equation is essentially equivalent to the well-known sine-Gordon equation, revealing a deep connection between these two nonlinear equations.

## Contribution

It establishes that the modified Vakhnenko-Parkes equation is an avatar of the sine-Gordon equation, providing new insight into its structure and solutions.

## Key findings

- The modified Vakhnenko-Parkes equation is equivalent to the sine-Gordon equation.
- This equivalence helps in understanding the solutions of the modified Vakhnenko-Parkes equation.
- The work links a recent nonlinear equation to a classical integrable system.

## Abstract

We show that the modified Vakhnenko-Parkes equation, introduced recently by Wazwaz, is an avatar of the sine-Gordon equation.

## Full text

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## References

18 references — full list in the complete paper: https://tomesphere.com/paper/1812.11351/full.md

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Source: https://tomesphere.com/paper/1812.11351