The isospectral property for a family of non-self-adjoint operators

DOI10.1063/1.525974zbMath0553.35073OpenAlexW2076777359MaRDI QIDQ3346700

Helena M. A. de Castro, Walter F. Wreszinski

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525974

zbMATH Keywords

discrete spectrumnonlinear evolution equationssmall perturbationsLax pairinverse scattering method

Mathematics Subject Classification ID

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

Cites Work

• Evolutionary equations with nontrivial Lie-Bäcklund group
• Group theoretic interpretation of equations of Korteweg-de Vries type
• Essentially nonlinear one-dimensional model of classical field theory
• Inverse scattering theory for systems of the Zakharov–Shabat type
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Integrals of nonlinear equations of evolution and solitary waves

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