4 citations · 13 across the 11 of their papers we have counts for
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Alternative representation of Magnus series by exact proper operator exponent
Yu. N. Kosovtsov
In this report the emphasis is on an alternative representation of the Magnus series by proper operator (matrix) exponential solutions to differential equations (systems), both lin…
Exact linear representations of the nonlinear Cauchy problems and their smooth solutions
Yu. N. Kosovtsov
The paper establishes conditions under which there are exact linear representations of nonlinear partial differential equations (Cauchy problems). By introducing a certain linear o…
Formal exact operator solutions to nonlinear differential equations
Yu. N. Kosovtsov
The compact explicit expressions for formal exact operator solutions to Cauchy problem for sufficiently general systems of nonlinear differential equations (ODEs and PDEs) in the f…
The general solutions of some nonlinear second order PDEs.I. Two independent variables, constant parameters
Yu. N. Kosovtsov
In the first part of planned series of papers the formal general solutions to selection of 80 examples of different types of second order nonlinear PDEs in two independent variable…
The decomposition method and Maple procedure for finding first integrals of nonlinear PDEs of any order with any number of independent variables
Yu. N. Kosovtsov
In present paper we propose seemingly new method for finding solutions of some types of nonlinear PDEs in closed form. The method is based on decomposition of nonlinear operators o…
The general solutions of some nonlinear second and third order PDEs with constant and nonconstant parameters
Yu. N. Kosovtsov
Selection of 25 examples from extensive nontrivial families for different types of nonlinear PDEs and their formal general solutions are given. The main goal here is to show on exa…