Nonlinear Integrable Equations

Inhaltsverzeichnis

• General ideas of the recursion operator method and adjoint representation.
• Linear matrix bundle.
• BC group and general integrable equations under reductions.
• Quadratic bundle with Z 2 grading.
• Polynomial and rational bundles.
• General differential spectral problem.
• Generalization and reductions of the differential spectral problem and integrodifferential spectral problems.
• Two-dimensional matrix spectral problem.
• Two-dimensional differential spectral problem.
• Towards to the general theory of recursion structure of nonlinear evolution equations.