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The KdV equation can be derived via multiple scaling analysis for the approximate description of long waves in dispersive systems with a conservation law. In this paper, we justify this… Click to show full abstract
The KdV equation can be derived via multiple scaling analysis for the approximate description of long waves in dispersive systems with a conservation law. In this paper, we justify this approximation for a system with unstable resonances by proving estimates between the KdV approximation and true solutions of the original system. By working in spaces of analytic functions, the approach will allow us to handle more complicated systems without a detailed discussion of the resonances and without finding a suitableenergy.
Keywords:
system;
system unstable;
approximation system;
unstable resonances;
approximation;
kdv approximation
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!