Deformation of linear ordinary differential equations. II

DOI10.3792/pjaa.56.149zbMath0454.34006OpenAlexW4238700456MaRDI QIDQ1149544

Tetsuji Miwa, Michio Jimbo

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.149

zbMATH Keywords

perturbationssoliton solutionmonodromic transformation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of ordinary differential equations (34D10) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Linear ordinary differential equations and systems (34A30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (5)

Polynomial Hamiltonians associated with Painleve equations. II: Differential equations satisfied by polynomial Hamiltonians ⋮ Deformation of linear ordinary differential equations. IV ⋮ Isomonodromy problem of Schlesinger equations ⋮ The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers ⋮ Bi-orthogonal systems on the unit circle, regular semi-classical weights and integrable systems. II

Cites Work

• On a direct method of constructing multi-soliton solutions
• Monodromy- and spectrum-preserving deformations. I
• Deformation of linear ordinary differential equations. I
• Monodromy preserving deformation and its application to soliton theory. II

This page was built for publication: Deformation of linear ordinary differential equations. II