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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…
nlin.SI2018★ 2 cited
Conservation laws of the system of equations of one-dimensional shallow water over uneven bottom in Lagrange's variables
Alexander V. Aksenov, Konstantin P. Druzhkov
The system of equations of one-dimensional shallow water over uneven bottom in Euler's and Lagrange's variables is considered. Intermediate system of equations is introduced. Hydro…