Related Experiment Video
Updated: May 2, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Wave systems with an infinite number of localized traveling waves
Georgy L Alfimov1, Elina V Medvedeva1, Dmitry E Pelinovsky2
1Moscow Institute of Electronic Engineering, Zelenograd, Moscow 124498, Russia.
Abstract:
In many wave systems, propagation of steadily traveling solitons or kinks is prohibited because of resonances with linear excitations. We show that wave systems with resonances may admit an infinite number of traveling solitons or kinks if the closest to the real axis singularities of a limiting asymptotic solution in the complex upper half plane are of the form z±=±α+iβ, α≠0. This quite general statement is illustrated by examples of the fifth-order Korteweg-de Vries equation, the discrete cubic-quintic Klein-Gordon equation, and the nonlocal double sine-Gordon equations.
More Related Videos
Related Concept Videos
Travelling Waves
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
Standing Waves
Modes of Standing Waves: II
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
Traveling Waves: Lossless Lines
Modes of Standing Waves - I
Standing Waves in a Cavity

