The bi-Hamiltonian structure for the restricted flows of the Boussinesq and the modified Boussinesq equation

DOI10.1063/1.530369zbMath0784.35088OpenAlexW1988670080MaRDI QIDQ4276721

Yunbo Zeng

Publication date: 7 February 1994

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

Full work available at URL: https://doi.org/10.1063/1.530369

zbMATH Keywords

Boussinesq equationgauge transformationfinite-dimensional integrable Hamiltonian systemssoliton equationsMiura-type transformationmodified Boussinesq equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

Families of quasi-bi-Hamiltonian systems and separability

Cites Work

• Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
• Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
• The generalized Neumann hierarchy associated with the energy dependent Schrödinger equation
• Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows
• Dual moment maps into loop algebras
• An approach to the integrability of Hamiltonian systems obtained by reduction
• The constraints of potentials and the finite-dimensional integrable systems
• Factorization of operators.II

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