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- G. A. El, Arnaldo Gammal, E. G. Khamis, Roberto A. Kraenkel, A. M. Kamchatnov
- 2007

G. A. El,* A. Gammal, E. G. Khamis, R. A. Kraenkel, and A. M. Kamchatnov Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom Instituto de FÃsica,â€¦ (More)

- A. M. Kamchatnov, Lev P. Pitaevskii
- Physical review letters
- 2008

The stability of dark solitons generated by supersonic flow of a Bose-Einstein condensate past an obstacle is investigated. It is shown that in the reference frame attached to the obstacle aâ€¦ (More)

- G. A. El, A. M. Kamchatnov, V. V. Khodorovskii, E. S. Annibale, Arnaldo Gammal
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

Supersonic flow of a superfluid past a slender impenetrable macroscopic obstacle is studied in the framework of the two-dimensional (2D) defocusing nonlinear SchrÃ¶dinger (NLS) equation. This problemâ€¦ (More)

We use the integrable Kaup-Boussinesq shallow water system, modified by a small viscous term, to model the formation of an undular bore with a steady profile. The description is made in terms of theâ€¦ (More)

- A. M. Kamchatnov
- 1982

We use the Hopf mapping to construct a magnetic configuration consisting of closed field lines, each of which is linked with all the other ones. We obtain in this way a solution of the equations ofâ€¦ (More)

- A. M. Kamchatnov
- 2008

Whitham theory of modulations is developed for periodic waves described by nonlinear wave equations integrable by the inverse scattering transform method associated with 2 Ã— 2 matrix or second orderâ€¦ (More)

Experiments on free expansion of Bose-Einstein condensate (BEC) have shown[1] that evolution of large and smooth distributions of BEC is described very well by hydrodynamic approximation[2] whereâ€¦ (More)

- EL G.A., Roger Grimshaw, A. M. Kamchatnov
- 2006

This paper considers the propagation of shallow-water solitary and nonlinear periodic waves over a gradual slope with bottom friction in the framework of a variablecoefficient Korteweg-de Vriesâ€¦ (More)

The joint influence of the polariton effect and Kerr-like nonlinearity on propagation of optical pulses is studied. The existence of different families of envelope solitary wave solutions in theâ€¦ (More)

- Yoshimasa Matsuno, Valery S. Shchesnovich, A. M. Kamchatnov, Roberto A. Kraenkel
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

The Whitham modulation equations for the parameters of a periodic solution are derived using the generalized Lagrangian approach for the case of the damped Benjamin-Ono equation. The structure of theâ€¦ (More)