Darboux-type transformations and hyperelliptic curves
Copyright policy )Darboux-type transformations and hyperelliptic curves
We systematically study Darboux-type transformations for the KdV and AKNS hierarchies and provide a complete account of their effects on hyperelliptic curves associated with algebro-geometric solutions of these hierarchies.
LaTeX, 27 pages
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, FOS: Physical sciences, Relationships between algebraic curves and integrable systems, Exactly Solvable and Integrable Systems (nlin.SI)
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, FOS: Physical sciences, Relationships between algebraic curves and integrable systems, Exactly Solvable and Integrable Systems (nlin.SI)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!