A Lie algebraic study of some integrable systems associated with root systems
|MSC||Soliton-like equations (msc 35Q51), KdV-like equations (Korteweg-de Vries) (msc 35Q53), NLS-like equations (nonlinear SchrÃ¶dinger) (msc 35Q55), Solutions in closed form (msc 35C05), Obstructions to integrability (nonintegrability criteria) (msc 37J30), Completely integrable systems, topological structure of phase space, integration methods (msc 37J35), Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) (msc 37K10), Integration of completely integrable systems by inverse spectral and scattering methods (msc 37K15), Relations with algebraic geometry, complex analysis, special functions (msc 37K20), Relations with differential geometry (msc 37K25), Relations with infinite-dimensional Lie algebras and other algebraic structures (msc 37K30), Lie-BÃ¤cklund and other transformations (msc 37K35), Soliton theory, asymptotic behavior of solutions (msc 37K40), Completely integrable systems and methods of integration (msc 70H06), Lie algebras and Lie superalgebras (msc 17Bxx), Research exposition (monographs, survey articles) (msc 34-02), Two-body problems (msc 70F05), body problems (msc 70F10)|
Scholma, J.K. (1993). A Lie algebraic study of some integrable systems associated with root systems. CWI Tracts. CWI.