Variationalism and Empirio-Criticism. (Exact and Variational Approaches to Fibre Optics Equations)
it is a very universal method, suitable for equations in any dimensions, with external forces and potentials (it does not matter at all whether the equation is integrable or not),
often it gives results which look quite similar to numeric simulations,
it is an extremely simple approach — one can learn it in a half an hour, obtain a result in the next few days and in a week write a reasonably looking paper which may be well accepted by many very respectable refereed journals, including the Physical Review and specialised optical journals,
a simplified finite dimensional dynamical system obtained via this approach may have interesting and rich properties. It is much easier to study such a reduced system than the original problem, etc.
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