Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Lax Pairs for the Modified KdV Equation

Version 1 : Received: 27 December 2023 / Approved: 27 December 2023 / Online: 28 December 2023 (10:10:24 CET)

A peer-reviewed article of this Preprint also exists.

Burde, G.I. Lax Pairs for the Modified KdV Equation. Axioms 2024, 13, 121. Burde, G.I. Lax Pairs for the Modified KdV Equation. Axioms 2024, 13, 121.

Abstract

Multi-parameter families of Lax pairs for the modified Korteweg-de Vries (mKdV) equation are defined by applying a direct method developed in the present study. The gauge transformations converting the defined Lax pairs to some simpler forms and reducing the variety of the Lax pairs this way are found. The direct method and its possible applications to other types of evolution equations are discussed.

Keywords

integrable equations; Lax pairs; direct method

Subject

Physical Sciences, Mathematical Physics

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