Scattering problem for the local parametric resonance equation
Oleg Kiselev, Yulia Bagderina, Sergei Glebov
TL;DR
This paper solves the local parametric resonance equation using parabolic cylinder functions and addresses the associated scattering problem, providing a mathematical framework for understanding wave interactions in resonant systems.
Contribution
It introduces a novel solution method for the local parametric resonance equation and explicitly solves the scattering problem for this class of equations.
Findings
Solution expressed in terms of parabolic cylinder functions
Explicit scattering problem solution provided
Advances understanding of wave interactions in resonant systems
Abstract
In this paper we present the solution of local parametric resonance equation in terms of parabolic cylinder functions and solve the scattering problem for this equation.
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Taxonomy
TopicsNumerical methods in inverse problems · Electromagnetic Scattering and Analysis · Spectral Theory in Mathematical Physics