Comment on `Painlev\'e Integrability and Multi-wave pattern for (2+1) dimensional Long wave-Short wave Resonance Interaction system'
Exactly Solvable and Integrable Systems
2023-08-15 v1
Abstract
In the paper by Sivatharani et al [1], the authors make a tall claim about the integrability of a 2 component (2+1) dimensional Long wave Short wave Resonance Interaction (2C(2+1)LSRI) equation with mixed sign which was already claimed to be non integrable and hence known not to satisfy Painlev\'e [2] property which the authors show to pass Painlev\'e test. We have categorically shown how the system does not pass Painlev\'e test and hence non-integrable reinforcing the claim made by Maruno et al [2]. The authors claim to derive the solutions of 2C(2+1)LSRI equation which ironically do not satisfy the equation. To top it all, the authors claim to have generated lumps and dromions which again defy their very own definition.
Cite
@article{arxiv.2308.07043,
title = {Comment on `Painlev\'e Integrability and Multi-wave pattern for (2+1) dimensional Long wave-Short wave Resonance Interaction system'},
author = {R. Radha and C. Senthil Kumar},
journal= {arXiv preprint arXiv:2308.07043},
year = {2023}
}
Comments
5 pages