Applications of the Generated Pseudo–Analysis on Nonlinear Partial Differential Equations
نویسنده
چکیده
There are presented the investigations in the framework of pseudoanalysis semirings whose operations are generated with functions of one variable. Based on the operations with generators there was developed a theory of generalized functions in analogy to the Mikusiński’s operators, which enables the construction of a generalized solution of the Burgers equation. There are considered extensions of operations ⊕ and ̄ for non-commutative and nonassociative cases. The obtained results are applied through the pseudo-linear superposition principle on some nonlinear partial differential equations.
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تاریخ انتشار 2004