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arXiv · 2101.10574

A variational characterization of 2-soliton profiles for the KdV equation

John P. Albert·Nghiem V. Nguyen
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Abstract

We use profile decomposition to characterize 2-soliton solutions of the KdV equation as global minimizers to a constrained variational problem involving three of the polynomial conservation laws for the KdV equation.

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John P. Albert, Nghiem V. Nguyen. 2021-01-26. A variational characterization of 2-soliton profiles for the KdV equation. https://doi.org/10.4310/cms.250412103136.

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