Displaying similar documents to “Infinitely many solitary waves in three space dimensions”

Solitary Waves and Electromagnetic Fields

Donato Fortunato (2008)

Bollettino dell'Unione Matematica Italiana

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Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet; by soliton, we mean a solitary wave which exhibits some form of stability. In this respect solitary waves and solitons have a particle-like behavior and they occur in many questions of mathematical physics, such as superconductivity, phase transition, classical and quantum field theory, non linear optics, (see e.g. [37], [50], [56]). We are not interested in the study of a particular...

On the Maxwell-wave equation coupling problem and its explicit finite-element solution

Larisa Beilina, Vitoriano Ruas (2023)

Applications of Mathematics

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It is well known that in the case of constant dielectric permittivity and magnetic permeability, the electric field solving the Maxwell's equations is also a solution to the wave equation. The converse is also true under certain conditions. Here we study an intermediate situation in which the magnetic permeability is constant and a region with variable dielectric permittivity is surrounded by a region with a constant one, in which the unknown field satisfies the wave equation. In this...