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From Periodic Processes to Solitons and Vice-Versa

  • J. Zagrodzinski
  • M. Jaworski
  • K. Wyser
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)

Abstract

The extreme effectiveness of direct methods in solving nonlinear partial differential equations (NLPDE) can be ascribed to an addition property of a function f(z), by which the solution is usually expressed in a form involving ln f(z).

Keywords

Riemann Surface Soliton Solution Theta Function Period Matrix Modular Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    J. Zagrodzinski, Phys. Rev. B 29, 1500 (1984).Google Scholar
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    W. Burnside, Proc. London Math. Soc. 23, 49 (1892).Google Scholar
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    H.F. Baker, “Abel’s theorem and the allied theory including the theory of theta functions” (Cambridge University Press, 1897 ).Google Scholar
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    A.I. Bobenko, “Uniformization of Riemann surfaces and effectivization of theta-functional formulae”, preprint 257 ( Tech. Univ. Berlin, 1990 ).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • J. Zagrodzinski
    • 1
  • M. Jaworski
    • 1
  • K. Wyser
    • 1
    • 2
  1. 1.Institute of PhysicsPolish Academy of SciencesWarsawPoland
  2. 2.Department of PhysicsETH ZurichSwitzerland

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