New nonlinear equation of KdV-type for a non-flat bottom

@inproceedings{Karczewska2013NewNE,
  title={New nonlinear equation of KdV-type for a non-flat bottom},
  author={Anna Maria Karczewska and Piotr Rozmej and Lukas Rutkowski},
  year={2013}
}
In the paper a new nonlinear equation describing shallow water waves with the topography of the bottom directly taken into account is derived. This equation is valid in the weakly nonlinear, dispersive and long wavelength limit. Some examples of soliton motion for various bottom shapes obtained in numerical simulations according to the derived equation are presented. 

References

SHOWING 1-9 OF 9 REFERENCES

Nonlinear Waves, Solitons and Chaos

1. Introduction 2. Linear waves and instabilities in infinite media 3. Convective and non-convective instabilities group velocity in unstable media 4. A first look at surface waves and instabilities

Solitons, Nonlinear Evolution Equations and Inverse Scattering

1. Introduction 2. Inverse scattering for the Korteweg-de Vries equation 3. General inverse scattering in one dimension 4. Inverse scattering for integro-differential equations 5. Inverse scattering

Nonlinear Ocean Waves and the Inverse Scattering Transform

Waves Called Solitons: Concepts and Experiments

1 Basic Concepts and the Discovery of Solitons.- 2 Linear Waves in Electrical Transmission Lines.- 3 Solitons in Nonlinear Transmission Lines.- 4 More on Transmission-Line Solitons.- 5 Hydrodynamic

Solitons, Introduction to

  • M. Helal
  • Physics, Computer Science
    Encyclopedia of Complexity and Systems Science
  • 2009

Waves called solitons

Solitary Waves in Dispersive Complex Media

Discrete and Continuous Nonlinear Schrödinger systems

  • 2004

Phys

  • Rev. Lett. 19
  • 1967