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On the non-chiral intermediate long wave equation: II. Periodic case
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). KTH, School of Engineering Sciences (SCI), Physics.ORCID iD: 0000-0001-8039-7949
KTH, School of Engineering Sciences (SCI), Physics.ORCID iD: 0000-0001-7481-2245
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-6191-7769
2022 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 35, no 8, p. 4517-4548Article in journal (Refereed) Published
Abstract [en]

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,
Place, publisher, year, edition, pages
IOP Publishing , 2022. Vol. 35, no 8, p. 4517-4548
Keywords [en]
nonlinear wave equation, elliptic integrable system, nonlocal partial differential equation, Hirota bilinear form, Backlund transformation, conservation laws, periodic solutions
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:kth:diva-315873DOI: 10.1088/1361-6544/ac45e9ISI: 000827835500001Scopus ID: 2-s2.0-85123477207OAI: oai:DiVA.org:kth-315873DiVA, id: diva2:1684834
Note

QC 20220728

Available from: 2022-07-28 Created: 2022-07-28 Last updated: 2023-06-08Bibliographically approved

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Berntson, Bjorn K.Langmann, EdwinLenells, Jonatan

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