The reduction of solutions of some integrable partial differential equations

DOI10.1016/0898-1221(93)90175-UzbMath0771.35057OpenAlexW1977566700MaRDI QIDQ1802467

Min Ho Lee

Publication date: 21 July 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90175-u

zbMATH Keywords

nonlinear Schrödinger equationhyperelliptic curvesKorteweg-de Vries equationsine-Gordon equationRiemann theta functions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Elliptic curves (14H52)

Cites Work

• Theta functions and non-linear equations
• Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations
• SOLUTIONS OF NONLINEAR EQUATIONS INTEGRABLE IN JACOBI THETA FUNCTIONS BY THE METHOD OF THE INVERSE PROBLEM, AND SYMMETRIES OF ALGEBRAIC CURVES
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