On integration of multidimensional generalizations of classical $C$- and $S$-integrable nonlinear partial differential equations
Exactly Solvable and Integrable Systems
2015-05-18 v4
Abstract
We develop a new integration technique allowing one to construct a rich manifold of particular solutions to multidimensional generalizations of classical - and -integrable Partial Differential Equations (PDEs). Generalizations of (1+1)-dimensional -integrable and (2+1)-dimensional -integrable -wave equations are derived among examples. Examples of multidimensional second order PDEs are represented as well.
Keywords
Cite
@article{arxiv.1002.4980,
title = {On integration of multidimensional generalizations of classical $C$- and $S$-integrable nonlinear partial differential equations},
author = {A. I. Zenchuk},
journal= {arXiv preprint arXiv:1002.4980},
year = {2015}
}
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31 pages