• Corpus ID: 244478016

Integrable partial differential equations and Lie--Rinehart algebras

@inproceedings{Morozov2021IntegrablePD,
title={Integrable partial differential equations and Lie--Rinehart algebras},
author={Oleg I. Morozov},
year={2021}
}
We develop the method for constructing Lax representations of pde s via twisted extensions of their algebras of contact symmetries by generalizing the construction to Lie–Rinehart algebras. We present examples of application of the proposed technique.

References

SHOWING 1-10 OF 46 REFERENCES
Lax representations via twisted extensions of infinite-dimensional Lie algebras: some new results
. We ﬁnd new integrable partial diﬀerential equations with Lax representations generated by extensions of Lie algebras of the Kac–Moody type as well as the Lie algebra of Hamiltonian vector ﬁelds on
Dispersionless Hirota Equations and the Genus 3 Hyperelliptic Divisor
• Mathematics
Communications in Mathematical Physics
• 2019
Equations of dispersionless Hirota type \begin{aligned} F(u_{x_ix_j})=0 \end{aligned} F ( u x i x j ) = 0 have been thoroughly investigated in mathematical physics and differential geometry. It
The Symmbolic Computation of Integrability Structures for Partial Differential Equations
• 2017
Theory of Solitons
• Physics
• 2016