D. J. Korteweg and G. de Vries, “On the Change of Form of Long Waves Advancing in a Rectangular Canal, and on a New Type of Long Stationary Waves,” Philosophical Magazine Series 5, Vol. 39, No. 240, 1895, pp. 422- 443. doi:10.1080/14786449508620739

has been cited by the following article:

• TITLE: Detection of Moving Targets Using Soliton Resonance Effect

  AUTHORS: Igor Kulikov, Michail Zak

  KEYWORDS: Korteweg-de Vries (KdV) Equation Soliton Resonance; Moving Target Detection

  JOURNAL NAME: Advances in Remote Sensing, Vol.1 No.3, December 31, 2012

  ABSTRACT: We present a soliton resonance method for moving target detection which is based on the use of inhomogeneous Korteweg-de Vries equation. Zero initial and absorbing boundary conditions are used to obtain the solution of the equation. The solution will be soliton-like if its right part contains the information about the moving target. The induced soliton will grow in time and the soliton propagation will reflect the kinematic properties of the target. Such soliton-like solution is immune to different types of noise present in the data set, and the method allows to significantly amplify the simulated target signal. Both, general formalism and computer simulations justifying the soliton resonance method capabilities are presented. Simulations are performed for 1D and 2D target movement.