English

Formal exact operator solutions to nonlinear differential equations

Mathematical Physics 2009-10-21 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

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.

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Cite

@article{arxiv.0910.3923,
  title  = {Formal exact operator solutions to nonlinear differential equations},
  author = {Yu. N. Kosovtsov},
  journal= {arXiv preprint arXiv:0910.3923},
  year   = {2009}
}

Comments

8 pages

R2 v1 2026-06-21T14:01:05.670Z