Abstract
Analytic linearization maps (resp., inverse linearization maps) in the sense of Flato, Pinczon and Simon are constructed for the Benjamin-Ono equation. These maps have a simple structure, referred to as their recursivity. This recursivity leads to the construction of Lax pairs and Gelfand-Levitan-type equations.
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On leave from Département de Physique Théorique, Université de Genéve, CH-1211, Genéve 4, Switzerland. Partially supported by the Swiss National Science Foundation.
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Anderson, R.L., Taflin, E. The Benjamin-Ono equation — Recursivity of linearization maps — Lax pairs. Lett Math Phys 9, 299–311 (1985). https://doi.org/10.1007/BF00397756
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DOI: https://doi.org/10.1007/BF00397756