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The Benjamin-Ono equation recursivity of linearization maps - Lax pairs

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Publication:1086430
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DOI10.1007/BF00397756zbMath0608.35064MaRDI QIDQ1086430

B. George

Publication date: 1985

Published in: Letters in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

existenceBenjamin-Ono equationLax pairslarge dataanalytic linearizationexplicit constructionGelfand-Levitan-type equationsinverse linearizationrecursivity property


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items

On global solutions of the Maxwell-Dirac equations ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ IST Versus PDE: A Comparative Study ⋮ Bifurcations of new eigenvalues for the Benjamin–Ono equation ⋮ Direct Scattering for the Benjamin-Ono Equation with Rational Initial Data



Cites Work

  • Explicit nonsoliton solutions of the Benjamin-Ono equation
  • Dynamical symmetries and conservation laws for Korteweg-de Vries equation
  • Non-linear equations and covariance
  • The Poincaré-Dulac theorem for nonlinear representations of nilpotent Lie algebras
  • Formal linearization of nonlinear massive representations of the connected Poincaré group
  • Exact multi-soliton solution of the Benjamin-Ono equation
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