Numerical direct scattering transform for breathers
(opens in new window)
Author(s):
I.I. Mullyadzhanov, A.S. Gudko, R.I. Mullyadzhanov, A.A. Gelash
Published in:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023, ISSN 0080-4630
Publisher:
Royal Society
DOI:
10.1098/rspa.2023.0529
Bi-solitons on the surface of a deep fluid: an inverse scattering transform perspective based on perturbation theory
(opens in new window)
Author(s):
A Gelash, S Dremov, R Mullyadzhanov, D Kachulin
Published in:
Physical Review Letters, 2024, Page(s) 133403, ISSN 0031-9007
Publisher:
American Physical Society
DOI:
10.1103/physrevlett.132.133403
Multisoliton interactions approximating the dynamics of breather solutions
(opens in new window)
Author(s):
Dmitry Agafontsev, Andrey Gelash, Stephane Randoux, Pierre Suret
Published in:
Studies in Applied Mathematics, 2023, ISSN 1467-9590
Publisher:
Wiley Periodicals
DOI:
10.1111/sapm.12662
Management of breather interactions
(opens in new window)
Author(s):
Andrey Gelash, Gang Xu, and Bertrand Kibler
Published in:
Physical Review Research, 2022, ISSN 2643-1564
Publisher:
American Physical Society
DOI:
10.1103/physrevresearch.4.033197