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��^4 Solitary Waves in a Parabolic Potential: Existence, Stability, and Collisional Dynamics
- Publication Year :
- 2018
- Publisher :
- arXiv, 2018.
-
Abstract
- We explore a ��^4 model with an added external parabolic potential term. This term dramatically alters the spectral properties of the system. We identify single and multiple kink solutions and examine their stability features; importantly, all of the stationary structures turn out to be unstable. We complement these with a dynamical study of the evolution of a single kink in the trap, as well as of the scattering of kink and anti-kink solutions of the model. We see that some of the key characteristics of kink-antikink collisions, such as the critical velocity and the multi-bounce windows, are sensitively dependent on the trap strength parameter, as well as the initial displacement of the kink and antikink.
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi...........38b9b75cc7e1045c176e5eb2a1a67ab4
- Full Text :
- https://doi.org/10.48550/arxiv.1805.00206