Two-photon propagation of light and the modified Liouville equation

DOI10.1134/S0040577920080097zbMath1453.81066OpenAlexW3081177433MaRDI QIDQ2214771

A. M. Kamchatnov, Maxim P. Pavlov

Publication date: 10 December 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577920080097

zbMATH Keywords

generalized Liouville equationDarboux integrationtwo-photon propagation of light

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear ordinary differential equations and systems (34A34) Sturm-Liouville theory (34B24) Quantum optics (81V80) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

• Sur les équations aux dérivées partielles du second ordre, F(x,y,z, p,q,r,s,t)=0, intégrables par la méthode de Darboux. 2
• Exactly integrable hyperbolic equations of Liouville type
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