## Non-linear Waves in Dispersive MediaNon-Linear Waves in Dispersive Media introduces the theory behind such topic as the gravitational waves on water surfaces. Some limiting cases of the theory, wherein proof of an asymptotic class is necessary and generated, are also provided. The first section of the book discusses the notion of linear approximation. This discussion is followed by some samples of dispersive media. Examples of stationary waves are also examined. The book proceeds with a discussion of waves of envelopes. The concept behind this subject is from the application of the methods of geometrical optics to non-linear the ... |

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### Contents

LINEAR APPROXIMATION | 1 |

EXAMPLES OF DISPERSIVE MEDIA | 8 |

Ionsound Waves in Unmagnetized Plasma | 15 |

Copyright | |

14 other sections not shown

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### Common terms and phrases

according accuracy adiabatic amplitude analogous apply approximation assume asymptotic form beam becomes boundary coefficients complete condition consider const constant coordinate corresponding curves defined density dependence derivatives described determined direction dispersion dispersion relation effects energy equal evolution examine example expression fairly fairly small field follows formula frequency function given increases initial condition initial perturbation integration invariant KDV equation large values limit linear linear approximation magnetic meaning medium method moving nature negative neglect non-linear obtain optics oscillations parameter periodic phase plasma potential problem processes quantity region relation respect satisfy shock wave shown similar slowly solitons solution sound stationary waves Substituting taking into account theory tion transform values variables vary velocity wave number wave packet δω др дх