Formal exact operator solutions to nonlinear differential equations

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.

💡 Research Summary

The paper tackles the Cauchy problem for a very broad class of nonlinear differential equations, encompassing both ordinary differential equations (ODEs) and partial differential equations (PDEs). Its central achievement is the derivation of exact formal solutions expressed as operator exponentials. By recasting a nonlinear system

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