Hamiltonian formalism for nonlinear waves
نویسندگان
چکیده
منابع مشابه
Hamiltonian formalism for nonlinear waves
Hamiltonian description for nonlinear waves in plasma, hydrodynamics and magnetohydrodynamics is presented. The main attention is paid to the problem of canonical variables introducing. The connection with other approaches of the Hamiltonian structure introducing is presented, in particular, with the help of the Poisson brackets expressed in terms of natural variables. It is shown that the dege...
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The basic mathematical apparatus of nonlinear optics consists of an array of nonlinear PDEs for the complex amplitudes of an envelope of interacting wave trains. In the general case, these equations include linear and nonlinear dissipative terms. However, in many important cases, they are small and can be neglected: therefore the equations are conservative, and the medium is transparent. Accord...
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ژورنال
عنوان ژورنال: Physics-Uspekhi
سال: 1997
ISSN: 1063-7869,1468-4780
DOI: 10.1070/pu1997v040n11abeh000304