Liouville's theorem and the method of the inverse problem

DOI10.1007/BF02107234zbMath0582.35108MaRDI QIDQ1069062

Alexander R. Its

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse scattering methodisomonodromic deformationsLiouville's theoremZakharov-Shabat equationsmatrix Riemann problemBullough-Dodd equationfinite gap integration

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Real two-zone solutions of the sine-Gordon equation
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• The reduction problem and the inverse scattering method
• Description of extraordinary representations of the group \(PGL(2,Q_2)\)
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