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Partially integrable generalizations of classical integrable models by combination of characteristics method and Hopf-Cole transformation

We represent an integration algorithm combining the characteristics method and Hopf-Cole transformation. This algorithm allows one to partially integrate a large class of multidimensional systems of nonlinear Partial Differential Equations (PDEs). A specific generalization of the equation describing the dynamics of two-dimensional viscous fluid and a generalization of the Korteweg-de Vries equation are examples of such systems. The richness of available solution space for derived nonlinear PDEs is discussed.

preprint2012arXivOpen access
A. I. Zenchuk
nlin.SI
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A. I. Zenchuk

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