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arXiv · 2103.02572

On the non-chiral intermediate long wave equation II: periodic case

Bjorn K. Berntson·Edwin Langmann·Jonatan Lenells
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Abstract

We study integrability properties of the non-chiral intermediate long wave (ncILW) equation with periodic boundary conditions. The ncILW equation was recently introduced by the authors as a parity-invariant relative of the intermediate long wave equation. For this new equation we: (a) derive a Lax pair, (b) derive a Hirota bilinear form, (c) use the Hirota method to construct the periodic multi-soliton solutions, (d) derive a B\"{a}cklund transformation, (e) use the B\"{a}cklund transformation to obtain an infinite number of conservation laws.

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Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells. 2021-03-03. On the non-chiral intermediate long wave equation II: periodic case. https://doi.org/10.1088/1361-6544/ac45e9

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