A remark on wave breaking for the Dullin–Gottwald–Holm equation

Abstract

In this paper, a new sufficient condition to guarantee wave breaking for the Dullin–Gottwald–Holm equation is established, which is a local criterion and easy to check.

Keywords:

• Dullin–Gottwald–Holm equation
• wave breaking
• convolution

AMS Subject Classifications:

• 37L05
• 35Q58
• 26A12

Acknowledgements

The authors would like to thank the referees for careful reading and helpful comments.

Notes

No potential conflict of interest was reported by the authors.