Finite Dimensional Hamiltonians and Almost-Periodic Solutions for 2+1 Dimensional Three-Wave Equations

スポンサーリンク

概要

• 論文の詳細を見る

• For the 2+1 dimensional three-wave equation, by using the known nonlinear constraints from 2+1 dimensions to 1+1 dimensions, we reduce it further to 0+1 dimensional (finite dimensional) Hamiltonian systems with constraints of Neumann type. These Hamiltonian systems are proved to be Liouville integrable by finding a full set of involutive conserved integrals and proving their functional independence. Moreover, almost-periodic solutions of the 2+1 dimensional three-wave equation are obtained by solving these Hamiltonian systems explicitly.

• 社団法人日本物理学会の論文
• 2002-08-15

著者

• Zhou Zixiang

  Institute Of Mathematics Fudan University

関連論文

• Finite Dimensional Integrable Hamiltonian Systems Associated with DSI Equation by Bargmann Constraints : General Physics
• Finite Dimensional Hamiltonians and Almost-Periodic Solutions for 2+1 Dimensional Three-Wave Equations

スポンサーリンク