Abstract
We are interested here in the interaction of radiation with matter through resonant wave coupling. In such problems the input is in general the asymptotic form of the radiation wave and the initial profile (generally zero) for the state of the matter (for instance the acoustic wave). Then, in that context the problem to consider is a nonlinear boundary value problem for coupled waves and we shall establish a basic simple set of equations that serve as a model for various physical situations and use the spectral transform method which we have extended in such a way as to solve those types of problems [1].
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Leon, J. (1994). Integrable Boundary Value Problems in Resonant Wave-Coupling Processes. In: Spatschek, K.H., Mertens, F.G. (eds) Nonlinear Coherent Structures in Physics and Biology. NATO ASI Series, vol 329. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1343-2_48
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DOI: https://doi.org/10.1007/978-1-4899-1343-2_48
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