On the non-chiral intermediate long wave equation: II. Periodic case. (4th August 2022)

• Record Type: Journal Article
• Authors: Berntson, Bjorn K; Langmann, Edwin; Lenells, Jonatan
• Is Part Of: Nonlinearity. Volume 35:Number 8(2022)
• Page Start: 4517
• Page End: 4548
• Publication Date: 2022-08-04
• Subjects: nonlinear wave equation -- elliptic integrable system -- nonlocal partial differential equation -- Hirota bilinear form -- Bäcklund transformation -- conservation laws -- periodic solutions; 35Q35 -- 35Q51 -- 37K10 -- 37K35; Nonlinear theories -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis; Nonlinear theories; Periodicals; 515
• DOI: 10.1088/1361-6544/ac45e9
• Languages: English
• ISSNs: 0951-7715

Abstract

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 a family of exact periodic wave solutions, (d) derive a Bäcklund transformation, (e) use the Bäcklund transformation to obtain an infinite number of conservation laws.