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PreprintarXiv licencearXiv

Rogue-like waves from collision of mKdV solitons

  • Stephen C. Anco
  • Jaskaran Maan
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Abstract

Interactions of two solitary waves having an up and a down orientation in the modified Korteweg-de Vries equation are shown to produce rogue-like waves. For waves that asymptotically vanish, the maximum ratio between the net peak-to-trough height of the interaction profile and the height of the tallest incoming wave is 2.41 when the waves have approximately equal speeds, and this ratio decreases to 2 when the speed ratio is 2.25. For waves that approach a non-zero constant at infinity, the same ratio is always greater than 2.41 and reaches a maximum of 2.65 when the speed ratio of the waves is 6.32.

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Cite

BibTeXRIS
BibTeX
@misc{anco2026roguelike,
  title = {{Rogue-like waves from collision of mKdV solitons}},
  author = {Stephen C. Anco and Jaskaran Maan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.10512},
  eprint = {2609.10512},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10512},
}
RIS
TY  - UNPB
TI  - Rogue-like waves from collision of mKdV solitons
AU  - Stephen C. Anco
AU  - Jaskaran Maan
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.10512
UR  - https://arxiv.org/abs/2609.10512
AB  - Interactions of two solitary waves having an up and a down orientation in the modified Korteweg-de Vries equation are shown to produce rogue-like waves. For waves that asymptotically vanish, the maximum ratio between the net peak-to-trough height of the interaction profile and the height of the tallest incoming wave is 2.41 when the waves have approximately equal speeds, and this ratio decreases to 2 when the speed ratio is 2.25. For waves that approach a non-zero constant at infinity, the same ratio is always greater than 2.41 and reaches a maximum of 2.65 when the speed ratio of the waves is 6.32.
ER  -