2 papers
nlin.SI2004
Characteristic invariants and Darboux's method
O. V. Kaptsov, A. V. Zabluda
We develop method that allows to derive reductions and solutions to hyperbolic systems of partial differential equations. The method is based on using functions that are constant i…
math-ph2003
Linear determining equations, differential constraints and invariant solutions
O. V. Kaptsov, A. V. Schmidt
A construction of differential constraints compatible with partial differential equations is considered. Certain linear determining equations with parameters are used to find such…