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Scattering problem for the differential operator \(\partial_ x\partial_ y+1+a(x,y)\partial_ y+b(x+y)\)

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Publication:1920569
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DOI10.1007/BF01040392zbMath0856.35096MaRDI QIDQ1920569

T. I. Garagash, A. K. Pogrebkov

Publication date: 21 January 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

Jost solutionsresolvent approachKlein-Gordon differential operator


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40)


Related Items

Commutator identities on associative algebras and the integrability of nonlinear revolution equations ⋮ Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation ⋮ Hirota difference equation and Darboux system: mutual symmetry



Cites Work

  • Unnamed Item
  • Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation
  • Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
  • Multidimensional solitons and their spectral transforms
  • Spectral transform for a two spatial dimension extension of the dispersive long wave equation
  • Solutions of the KPI equation with smooth initial data
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