On the non-chiral intermediate long wave equation
Exactly Solvable and Integrable Systems
2024-12-19 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We study integrability properties of the non-chiral intermediate long wave equation recently introduced by the authors as a parity-invariant variant of the intermediate long wave equation. For this new equation we: (a) derive a Lax pair, (b) derive a Hirota bilinear form, (c) derive a B\"{a}cklund transformation, (d) use, separately, the B\"{a}cklund transformation and the Lax representation to obtain an infinite number of conservation laws.
Keywords
Cite
@article{arxiv.2005.10781,
title = {On the non-chiral intermediate long wave equation},
author = {Bjorn K. Berntson and Edwin Langmann and Jonatan Lenells},
journal= {arXiv preprint arXiv:2005.10781},
year = {2024}
}
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29 pages