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  1. Milan Journal of Mathematics
  2. Milan Journal of Mathematics : Volume 77
  3. Milan Journal of Mathematics : Volume 77, Issue 1, December 2009
  4. Hylomorphic solitons
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Milan Journal of Mathematics : Volume 84
Milan Journal of Mathematics : Volume 83
Milan Journal of Mathematics : Volume 82
Milan Journal of Mathematics : Volume 81
Milan Journal of Mathematics : Volume 80
Milan Journal of Mathematics : Volume 79
Milan Journal of Mathematics : Volume 78
Milan Journal of Mathematics : Volume 77
Milan Journal of Mathematics : Volume 77, Issue 1, December 2009
On Complex-valued 2D Eikonals. Part Four: Continuation Past a Caustic
Continuum Thermodynamics and Phase-Field Models
Order and Chaos in Dynamical Systems
Critical Nonlinearities in Partial Differential Equations
The Chow Motive of a K3 Surface
Nonlinear Questions in Clamped Plate Models
The Numerical Approximation of Stochastic Partial Differential Equations
Faraday’s Form and Maxwell’s Equations in the Heisenberg Group
Hylomorphic solitons
Stability and exponential stability in linear viscoelasticity
A Conjecture of Mukai Relating Numerical Invariants of Fano Manifolds
Archimedes Revisited
The Discrete and Classical Dirichlet Problem
Linear First-Order Evolution Problems Without Initial Conditions
Milan Journal of Mathematics : Volume 76
Milan Journal of Mathematics : Volume 75
Milan Journal of Mathematics : Volume 74
Milan Journal of Mathematics : Volume 73
Milan Journal of Mathematics : Volume 72
Milan Journal of Mathematics : Volume 71
Milan Journal of Mathematics : Volume 70
Milan Journal of Mathematics : Volume 69
Milan Journal of Mathematics : Volume 68
Milan Journal of Mathematics : Volume 67

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Hylomorphic solitons

Article

Hylomorphic solitons

Content Provider SpringerLink
Author Benci, Vieri
Copyright Year 2009
Abstract This paper is devoted to the study of solitary waves and solitons whose existence is related to the ratio energy/charge. These solitary waves are called hylomorphic. This class includes the Q-balls, which are spherically symmetric solutions of the nonlinear Klein-Gordon equation, as well as solitary waves and vortices which occur, by the same mechanism, in the nonlinear Schrödinger equation and in gauge theories. Mainly we will be interested in the very general principles which are at the base of the existence of solitons such as the Variational Principle, the Invariance Principle, the Noether’s theorem, the Hamilton-Jacobi theory etc. We give a general definition of hylomorphic solitons and an interpretation of their nature (swarm interpretation) which is very helpful in understanding their behavior. We apply these ideas to the Nonlinear Schrödinger Equation and to the Nonlinear Klein-Gordon Equation respectively.
Ending Page 332
Page Count 62
Starting Page 271
File Format PDF
ISSN 14249286
e-ISSN 14249294
Journal Milan Journal of Mathematics
Issue Number 1
Volume Number 77
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2009-11-05
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Symmetries and conservation laws Variational methods Soliton Mathematics nonlinear wave equation nonlinear Schrödinger equation NLS-like equations (nonlinear Schrödinger) variational methods solitary waves nonlinear Klein-Gordon equation Analysis Soliton-like equations Q-ball Soliton solutions
Content Type Text
Resource Type Article
Subject Mathematics
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