Add to ORKGRoughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet and which preserves this localization in time. This paper is an introduction to the study of solitary waves relative to the Nonlinear Wave Equation and to the Abelian Gauge Theories. Abelian Gauge Theories consist of a class of field equations obtained by coupling in a suitable way the nonlinear wave equation with the Maxwell equations. They provide a model for the interaction of matter with the electromagnetic field. One of the motivations of this study relies in the fact that the Nonlinear Wave Equation and the Abelian Gauge Theories are the simplest equations which satisfy the basic principles of Modern Phyics
A short and object oriented conspectus of bulk solitary wave theory, numerical simulations and real ...
Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and col...
The authors present a systematic and formal approach toward finding solitary wave solutions of nonli...
Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a locali...
Abelian gauge theories consist of a class of field equations which provide a model for the interact...
Abelian gauge theories consist of a class of ?eld equations which pro- vide a model for the interac...
In this report, we study various nonlinear wave equations arising in mathematical physics and invest...
"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two...
Solitary waves and solitons are briefly discussed in their historical context, especially regarding ...
We consider a non-Abelian gauge theory in $\R^{4}$ equipped with the Minkowski metric, which provide...
We consider the Abelian gauge theory related to the interaction between the solitary waves of the n...
Evolution equations that feature both nonlinear and dispersive effects often possess solitary-wave s...
The book is divided in two parts. In the first part an abstract definition of solitary wave and soli...
The nonlinear Landau-Ginsberg-Higgs model, which depicts wave propagation in nonlinear media with a ...
Solitary waves in materials with a cascaded X(2): (2) nonlinearity are investigated, and the implica...
A short and object oriented conspectus of bulk solitary wave theory, numerical simulations and real ...
Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and col...
The authors present a systematic and formal approach toward finding solitary wave solutions of nonli...
Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a locali...
Abelian gauge theories consist of a class of field equations which provide a model for the interact...
Abelian gauge theories consist of a class of ?eld equations which pro- vide a model for the interac...
In this report, we study various nonlinear wave equations arising in mathematical physics and invest...
"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two...
Solitary waves and solitons are briefly discussed in their historical context, especially regarding ...
We consider a non-Abelian gauge theory in $\R^{4}$ equipped with the Minkowski metric, which provide...
We consider the Abelian gauge theory related to the interaction between the solitary waves of the n...
Evolution equations that feature both nonlinear and dispersive effects often possess solitary-wave s...
The book is divided in two parts. In the first part an abstract definition of solitary wave and soli...
The nonlinear Landau-Ginsberg-Higgs model, which depicts wave propagation in nonlinear media with a ...
Solitary waves in materials with a cascaded X(2): (2) nonlinearity are investigated, and the implica...
A short and object oriented conspectus of bulk solitary wave theory, numerical simulations and real ...
Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and col...
The authors present a systematic and formal approach toward finding solitary wave solutions of nonli...