Algebro-geometric Quasi-periodic Solutions to the Three-Wave Resonant Interaction Hierarchy

DOI10.1137/130918794zbMath1319.35211OpenAlexW2088661708MaRDI QIDQ5495250

Lihua Wu, Xiangguo Geng, Guo-Liang He

Publication date: 31 July 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130918794

zbMATH Keywords

trigonal curvealgebro-geometric quasi-periodic solutionsthree-wave resonant interaction hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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