One-Two Dimensional Nonlinear Pulse Interaction
A. Ciattoni, A. Degasperis, E. DelRe
Abstract
The peculiar intergrability of the Davey-Stewartson equation allows us to find analytically solutions describing the simultaneous formation and interaction of one-dimensional and two-dimensional localized coherent structures. The predicted phenomenology allows us to address the issue of interaction of solitons of different dimensionality that may serve as a starting point for the understanding of hybrido-dimensional collisions recently observed in nonlinear optical media.
Create a lesson
Related papers
Extreme Localization via a Singular Edge Mode in an Asymmetric Linkage System
Myeonggyun Joo, Dongwook Kwak, Rajesh Chaunsali et al.
Solitons in the nonlinear Schrödinger equation with the pseudo-Raman term, anti-diffusion gain and nonlinear loss
Evgeny M. Gromov, Boris A. Malomed
A theory for detecting the Turing instability on static and temporal multiplex networks
Joshua Ritchie
Multistability and Juggling States in Frustrated Kuramoto Oscillators on Ring Networks
Guilherme S. Costa, Ricardo Fariello, Marcus A. M. de Aguiar
Whitham modulation theory for the Davey-Stewartson system and stability analysis of its periodic traveling wave solutions
Gino Biondini, Alexander Chernyavsky, Haodong Lin et al.
Soliton dynamics in the Gardner-Ostrovsky equation
R. Fariello, M. S. Soares, Y. A. Stepanyants