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ks equation

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7 - Nonrelativistic Examples:WaterWaves and Surface Growth
from Part I - General Properties of Fields; Scalars and Gauge Fields
Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
Book:

Classical Field Theory

Published online:

04 March 2019

Print publication:

14 March 2019, pp 65-73
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Summary

We present examples of nonrelativistic field theories, starting with the nonrelativistic limit of a scalar field with canonical kinetic term. Then we present hydrodynamics, the study of fluids, with the goal of describing water waves. We derive the KdV equation and its soliton from the description of water waves. The KS equation is also described. Finally, we describe surface growth and the KPZ equation.