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

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

2007-09-08

arxiv.org/abs/0709.1196v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

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.

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