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Integrable Nonlinear Evolution Equations and Dynamical Systems in Multidimensions

In: KdV ’95

Author

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  • Francesco Calogero

    (Università di Roma I La Sapienza, Dipartimento di Fisica
    Istituto Nazionale di Fisica Nucleare, Sezione di Roma)

Abstract

The investigation of nonlinear evolution equations and dynamical systems integrable in multidimensions constitutes at present our main research interest. Here we survey findings obtained recently as well as over time: solvable equations (both PDEs and ODEs) are reported, philosophical motivations and methodological approaches are outlined. For more detailed treatments, including the display and analysis of solutions, the interested reader is referred to the original papers.

Suggested Citation

  • Francesco Calogero, 1995. "Integrable Nonlinear Evolution Equations and Dynamical Systems in Multidimensions," Springer Books, in: Michiel Hazewinkel & Hans W. Capel & Eduard M. de Jager (ed.), KdV ’95, pages 229-244, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-0017-5_12
    DOI: 10.1007/978-94-011-0017-5_12
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