Concepedia

The NLS Approximation Makes Wrong Predictions for the Water Wave Problem in Case of Small Surface Tension and Spatially Periodic Boundary Conditions

Guido Schneider, Danish Ali Sunny, Dominik Zimmermann

Journal of Dynamics and Differential Equations · 2014 · 34 citations · 11 references

DOI

Concepts

References

11

Stability of periodic waves of finite amplitude on the surface of a deep fluid

Journal of Applied Mechanics and Technical Physics · 1968 · 2.5K citations

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Nonlinear modulation of gravity waves: a rigorous approach

Walter Craig, Catherine Sulem, P. L. Sulem · Nonlinearity · 1992 · 183 citations

, , +15

Validity and Limitation of the Newell‐Whitehead Equation

Guido Schneider · Mathematische Nachrichten · 1995 · 79 citations

, , +8

ASYMPTOTIC DECAY OF A ONE-DIMENSIONAL WAVE PACKET IN A NONLINEAR DISPERSIVE MEDIUM

L. A. Kalyakin · Mathematics of the USSR-Sbornik · 1988 · 65 citations

, , +12

A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem

Communications in Mathematical Physics · 2012 · 55 citations · Full text

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