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math-ph2021
On the correspondence between variational principles in Eulerian and Lagrangian descriptions
Alexander V. Aksenov, Konstantin P. Druzhkov
A relation between variational principles for equations of continuum mechanics in Eulerian and Lagrangian descriptions is considered. It is shown that for a system of differential…
nlin.SI2021
Construction of complex solutions to nonlinear partial differential equations using simpler solutions
Alexander V. Aksenov, Andrei D. Polyanin
The paper describes a number of simple but quite effective methods for constructing exact solutions of PDEs, that involve a relatively small amount of intermediate calculations. Th…