English

Combination of inverse spectral transform method and method of characteristics: deformed Pohlmeyer equation

Exactly Solvable and Integrable Systems 2015-05-13 v2

Abstract

We apply a version of the dressing method to a system of four dimensional nonlinear Partial Differential Equations (PDEs), which contains both Pohlmeyer equation (i.e. nonlinear PDE integrable by the Inverse Spectral Transform Method) and nonlinear matrix PDE integrable by the method of characteristics as particular reductions. Some other reductions are suggested.

Keywords

Cite

@article{arxiv.0709.1196,
  title  = {Combination of inverse spectral transform method and method of characteristics: deformed Pohlmeyer equation},
  author = {A. I. Zenchuk},
  journal= {arXiv preprint arXiv:0709.1196},
  year   = {2015}
}

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12 pages