An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy

DOI10.1142/S0129055X98000112zbMath0974.35107arXivsolv-int/9707009OpenAlexW2052802348MaRDI QIDQ4221337

R. Ratnaseelan, Friedrich Gesztesy

Publication date: 21 March 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9707009

zbMATH Keywords

solitonsAKNS hierarchyrational solutionsdivisorsLax pairstrace formulasalgebraic approachBaker-Akhiezer functionsDubrovin-type equationsalgebro-geometric quasi-periodic solutionstheta function representationsBurchnall-Chaundy curves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Theta functions and curves; Schottky problem (14H42)

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