## Nonlinear waves in waveguides: with stratification |

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Page 16

The wave type is

between dynamical variables u, v, w, 6, T (Chap. 1) [2.7]. The latter are especially

important in nonlinear theory and allow to

the ...

The wave type is

**determined**by the dispersion relation and the relationshipbetween dynamical variables u, v, w, 6, T (Chap. 1) [2.7]. The latter are especially

important in nonlinear theory and allow to

**determine**unambiguously the form ofthe ...

Page 39

The evolution of 6, %p and therefore, S is

follows directly, 6x = 6T/c — a8y(£, y)\y=aT. Thus, to second order □ / (62/2 + ip8)

dr = c~xa (62/2 + xj>S) Jo x t-x,ir<7t (2.82) S=x-ct,y=4 Transferring all the terms ...

The evolution of 6, %p and therefore, S is

**determined**by S(x — ct, at), and asfollows directly, 6x = 6T/c — a8y(£, y)\y=aT. Thus, to second order □ / (62/2 + ip8)

dr = c~xa (62/2 + xj>S) Jo x t-x,ir<7t (2.82) S=x-ct,y=4 Transferring all the terms ...

Page 46

The spectrum w J 0 is

transverse variable d (sinvC„),.+ sini> m2 cos2 2- tf2 sin v v_m fj-\ 1 w \H J sinu

0TM=O, (2.102) where 0TM are in the interval [0, tt]. For every m there is therefore

an ...

The spectrum w J 0 is

**determined**from the Sturm-Liouville problem for thetransverse variable d (sinvC„),.+ sini> m2 cos2 2- tf2 sin v v_m fj-\ 1 w \H J sinu

0TM=O, (2.102) where 0TM are in the interval [0, tt]. For every m there is therefore

an ...

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### Contents

Introduction | 1 |

The Discrimination and Interaction | 12 |

Interaction of Modes in an Electromagnetic Field Waveguide | 50 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

allows amplitude approximation atmosphere atmospheric waveguide atmospheric waves basis functions boundary conditions calculation CKdV coefficients components considered contribution coordinate decrease denote density density matrix dependence derivation described determined dielectric dimensionless dispersion branches dispersion equation dispersion relation dissipation distribution function dynamical variables effects evolution equations exponential Fiz.Atm.Okean formulas Fourier given hydrodynamical inhomogeneity initial conditions integration internal waves ion-acoustic ionospheric iteration Kaliningrad KdV equation kinetic Langmuir waves layer linear long waves magnetic field matrix mean field medium method mode interaction mode number Moscow nonlinear constants nonlinear terms Nonlinear Waves nonlocal ocean oscillations perturbation theory physical plasma waves problem projection operators quasi-waveguide quasisolitons region resonance Rossby waves S.B.Leble S.BXeble scale Sect small parameters soliton solution spectral SSSR stationary stratified subspaces substitution taking into account temperature thermoclyne thermoconductivity thermospheric three-wave transformed turbulence two-dimensional values velocity vertical wave interaction wave propagation wave vector waveguide propagation wavelength