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Energy Dependent Spectral Problems: Their Hamiltonian Structures, Miura Maps and Master Symmetries

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Nonlinear Evolution Equations and Dynamical Systems

Part of the book series: Research Reports in Physics ((RESREPORTS))

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Abstract

The main theme of this paper is that a variety of algebraic properties of solvable (by Inverse Spectral Transform) nonlinear evolution equations can be derived systematically from the associated linear spectral problem. In this paper we are particularly intereseted in Hamiltonian structures, Miura maps and master symmetries.

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References

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  6. M. Antonowicz and A.P. Fordy, Hamiltonian Structure of Nonlinear Evolution Equations, published in:“Soliton Theory: A Survey of Results”, ed. A.P. Fordy, MUP, Manchester 1990.

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  7. M. Antonowicz, A.P. Fordy and Q.P. Liu, A tri-Hamiltonian extension of the Boussinesq hierarchy and its modifications. Preprint.

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© 1990 Springer-Verlag Berlin, Heidelberg

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Fordy, A.P. (1990). Energy Dependent Spectral Problems: Their Hamiltonian Structures, Miura Maps and Master Symmetries. In: Carillo, S., Ragnisco, O. (eds) Nonlinear Evolution Equations and Dynamical Systems. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84039-5_30

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  • DOI: https://doi.org/10.1007/978-3-642-84039-5_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51983-6

  • Online ISBN: 978-3-642-84039-5

  • eBook Packages: Springer Book Archive

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