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A new case of integrability of the general Riccati equation and its application to relaxation problems

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Publication:3994261
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DOI10.1088/0305-4470/24/21/010zbMath0757.34003OpenAlexW2013549454MaRDI QIDQ3994261

Victor M. Strelchenya

Publication date: 13 August 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/21/010


zbMATH Keywords

molecular physicsgeneral Riccati equationintegrability by quadraturesdiatomic molecules in a structureless gasvibrational-translational or rotational-translational relaxation


Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Molecular physics (81V55)


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New integrability case for the Riccati equation ⋮ GENERALIZED BÄCKLUND–DARBOUX TRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS ⋮ Integrability of Lie Systems through Riccati Equations ⋮ Special symmetries to standard Riccati equations and applications ⋮ Group theoretical approach to the intertwined Hamiltonians ⋮ Quasi-Lie families, schemes, invariants and their applications to Abel equations



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