Related Experiment Video
Updated: Aug 17, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
Published on: July 19, 2016
Perturbation theory for kinks and its application for multisoliton interactions in hydrodynamics
K A Gorshkov1, L A Ostrovsky, I A Soustova
1Institute of Applied Physics of Russian Academy of Science, Nizhny Novgorod, Russia.
Abstract:
Using an integrable Gardner equation as an example, a perturbation theory is developed for systems in which limiting-amplitude solitons exist in the form of a pair of distanced kinks. Approximate equations describing multisoliton interactions are derived and further used for modeling the evolution of an arbitrary set of solitons. The results are compared with an exact solution and numerical results. The theory is applied to data from observation of a train of strongly nonlinear internal waves in the ocean.
Related Concept Videos
Interference and Diffraction
Oscillations about an Equilibrium Position
Stability of structures
Kohlraush’s Law and its Applications
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
Partial Differential Equations

