Aspects of Integrability of Differential Systems and Fields

@article{Papachristou2015AspectsOI,
  title={Aspects of Integrability of Differential Systems and Fields},
  author={Costas J. Papachristou},
  journal={arXiv: General Mathematics},
  year={2015}
}
This monograph, written for educational purposes, serves as an introduction to the concept of integrability as it applies to systems of differential equations (both ordinary and partial) as well as to vector-valued fields. The general cases of integrability examined are: path-independence of line integrals of vector fields on the plane and in space; integration of systems of ordinary differential equations by using first integrals; and integrable systems of partial differential equations… Expand
Elements of Field Theory
Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation
  • H. Baran
  • Computer Science, Physics
  • Commun. Nonlinear Sci. Numer. Simul.
  • 2021
Work and Energy

References

SHOWING 1-6 OF 6 REFERENCES
The Geometry of Physics
Recursion operators and non-local symmetries
  • G. Guthrie
  • Mathematics
  • Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
  • 1994
Differential Equations and the Calculus of Variations