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arXiv · 2602.04747

Generalized quantum theory for accessing nonlinear systems: the case of Li\'{e}nard and Levinson-Smith equations

Bijan Bagchi·Anindya Ghose-Choudhury
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Abstract

We show that a recently introduced generalized scheme of quantum mechanics has connections to Li\'{e}nard and Levinson-Smith classes of nonlinear systems. For the Li\'{e}nard type, which has coefficients of odd and odd symmetry, we demonstrate that closed form solutions exist on conversion to the Abel form. For the Levinson-Smith equations, we find their relevance to position-dependent mass systems, with an interesting off-shoot that solitonic-like solutions emerge from the condition of the level surface in the system.

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Bijan Bagchi, Anindya Ghose-Choudhury. 2026-02-04. Generalized quantum theory for accessing nonlinear systems: the case of Li\'{e}nard and Levinson-Smith equations. https://arxiv.org/abs/2602.04747

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