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Nonlinear Differential Equations in Physics and Their Geometrical Integrability Properties

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Differential Geometric Methods in Theoretical Physics

Part of the book series: NATO ASI Series ((NSSB,volume 245))

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Abstract

The attempt of this line of research is to try to treat Yang-Mills, and gravitational fields as nonlinear systems, and try to see how much they possess the geometrical integrability properties that have been the guiding force in many two-dimension nonlinear systems. Though the study so far has been quite formal and mathematical, the ultimate goal we have in mind is for particle physics: to solve the full Yang Mills and gravitational fields, and to formulate new ways to quantize the fields.

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Author information

Authors and Affiliations

  1. Department of Physics, University of California, Davis, CA, 95616, USA

    Ling-Lie Chau

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  1. Ling-Lie Chau
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Editor information

Editors and Affiliations

  1. University of California, Davis, Davis, California, USA

    Ling-Lie Chau  & Werner Nahm  & 

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Chau, LL. (1990). Nonlinear Differential Equations in Physics and Their Geometrical Integrability Properties. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_7

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  • DOI: https://doi.org/10.1007/978-1-4684-9148-7_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-9150-0

  • Online ISBN: 978-1-4684-9148-7

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