Partially integrable generalizations of classical integrable models by combination of characteristics method and Hopf-Cole transformation
Exactly Solvable and Integrable Systems
2012-10-29 v1
Abstract
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.
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Cite
@article{arxiv.1210.7089,
title = {Partially integrable generalizations of classical integrable models by combination of characteristics method and Hopf-Cole transformation},
author = {A. I. Zenchuk},
journal= {arXiv preprint arXiv:1210.7089},
year = {2012}
}
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7 pages