Title: Extended Solutions and Modulational Instability
Abstract: In our considerations up to now, we have focused on localized solutions of the DNLS equation. In this chapter, we consider a different, yet important, class of solutions of the DNLS, namely the plane waves. Plane waves are spatially uniform (in the modulus) solutions, characterized by a wave number of the spatial modulation of their real and imaginary part, and an associated frequency (of temporal oscillation). They exist both in the continuum and in the discrete form of the NLS equation and one of the fundamental elements of their importance in this dispersive wave setting is that they are unstable, under appropriate conditions, to modulations, through a mechanism known as the modulational instability (MI).
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot