Abstract
We present a tri-Hamiltonian system which is an extension of the famous Boussinesq equation, and more importantly we give the corresponding modifications. The motivation of this study is to generalize the results of [1] and [2]. The details are given in [3].
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References
M. Antonowicz and A. P. Fordy, Coupled KdV Equations with multi-Hamiltonian Structures, Physica 28D, 345–58 (1987).
M. Antonowicz and A. P. Fordy, Factorisation of Energy Dependent Schrödinger Operators: Miura Maps and Modified Systems, Commun. Math. Phys. 124, 465–86 (1989)
M. Antonowicz, A. P. Fordy, Q. P. Liu, Energy Dependent Lax Operator: Third Order Case, to appear.
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© 1991 Springer-Verlag Berlin Heidelberg
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Liu, Q.P. (1991). A Tri-Hamiltonian Extension of the Boussinesq Equation and Its Modification. In: Makhankov, V.G., Pashaev, O.K. (eds) Nonlinear Evolution Equations and Dynamical Systems. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76172-0_4
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DOI: https://doi.org/10.1007/978-3-642-76172-0_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53294-1
Online ISBN: 978-3-642-76172-0
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