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https://doi.org/10.1016/j.chaos.2012.11.005

has been cited by the following article:

• TITLE: A Neumann System of the Third Order Differential Operator Associated with the Boussinesq Equation

  AUTHORS: Jianli Cao, Jingfang Han

  KEYWORDS: Boussinesq Equation, Conserved Integrals, Lax-Moser Matrix

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 17, 2020

  ABSTRACT: Finite-dimensional integrable Hamiltonian system, obtained through the nonlinearization of the 3 × 3 spectral problem associated with the Boussinesq equation, is investigated. A generating function method starting from the Lax-Moser matrix is used to give an effective way to prove the involutivity of integrals. Finite-parameter solution of the Boussinesq equation is calculated based on the commutative system of ordinary differential equations with these integrals as Hamiltonians. The problem of the third order differential operator associated with the Boussinesq Neumann system put forward by H. Flaschka in 1983 is solved.