Symmetry analysis and exact solutions of nonlinear partial
differential equations (PDEs)
Symmetry analysis and exatc solutionsof intial value/boundary
problems for nonlinear PDEs
Conditional/non-classical symmetries of nonlinear PDEs
Separation of variables in linear and nonlinear PDEs
Exactly and quasi-exactly solvable matrix models of quantum
mechanics
Group classification of nonlinear PDEs
Non-local symmetries of nonlinear evolution equations
I have 132 publications
including two monographs:
W.I.Fushchych and R.Z.Zhdanov, Nonlinear Spinor Equations:
Symmetry and Exact Solutions, Naukova Dumka Publishing, Kyiv,
1992, in Russian.
W.Fushchych and R.Zhdanov, Symmetries and
Exact Solutions of Nonlinear Dirac Equations, Mathematical Ukraina
Publishing, Kyiv, 1997, in English (Download)
and 77 papers published in the
major refereed journals (the full list of publications is here).
SCOPUS database contains 59 of my papers, which are cited in more than
500 publications. My current h-index
is equal to 14.
Papers submitted for
publication:
R.Zhdanov, V.Lahno and C.Z.Qu, Nonlinear evolution equations and semi-simple Lie algebras, Chapter in the book Evolution equations to be published by Nova Science Publishers, 2011