Formal exact operator solutions to nonlinear differential equations

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Kosovtsov, Yu. N.
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Abstract
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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 form of chronological operator exponents are given. The variant of exact solutions in the form of ordinary (without chronologization) operator exponents are proposed.
Comment: 8 pages
Keywords
Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 34A05 (Primary) 35C05, 35A99 (Secondary)
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