Recent advances in the theory of nonlinear surface waves

摘要: Abstract Recent advances associated with an improvement of the popular cold-plasma sharp-boundary model in theory nonlinear surface waves low-temperature plasmas are reviewed. The revised boundary calls for existence induced charges and currents infinitely thin (spatially singular) layer at plasma boundary. It provides a much more accurate description physics region, especially respect to effects. Various wave phenomena current interest, such as those third-order ponderomotive effect, waves, soliton formation, discussed. is demonstrated that problems considered, results from new agree well obtained kinetic theory. latter inherently includes complete conditions since density can vanish smoothly (and physically consistently) within adjacent wall. layer, or sheath has small but finite dimension usually order Debye length. Effectively, takes into account relevant physical processes occuring this which itself nevertheless taken be zero width. Thus, spatially singular appear model. Furthermore, class solutions also These by separating temporal spatial dependences quantities. They mathematically exact sense starting basic equations conditions, no approximation any kind needs made obtaining them. Exact cylindrically spherically bounded plasmas, effects constant oscillatory external electric fields dielectric container, presented. Modern applications above topics various branches physics, chemistry, technology