The Korteweg-de Vries Equation: History, exact Solutions, and graphical Representation

@inproceedings{Brauer2000TheKV,
  title={The Korteweg-de Vries Equation: History, exact Solutions, and graphical Representation},
  author={Klaus Brauer},
  year={2000}
}
Travelling waves as solutions to the Korteweg-de Vries equation (KdV) which is a non-linear Partial Differential Equation (PDE) of third order have been of some interest already since 150 years. The author’s aim is to present an analytical exact result to the KdV equation by means of elementary operations as well as by using Backlund transform. Special interest is devoted to non-linear superposition of several waves, the so called Solitary Waves or Solitons which is performed by Backlund… CONTINUE READING

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