38 citations · 83 across the 4 of their papers we have counts for
4 papers
Conservation laws and integral relations for the Boussinesq equation
Adrian Ankiewicz, Andrew P. Bassom, Peter A. Clarkson +1
We are concerned with conservation laws and integral relations associated with rational solutions of the Boussinesq equation, a soliton equation solvable by inverse scattering whic…
Optical soliton solutions of the quintic complex Swift-Hohenberg equation
Adrian Ankiewicz, Ken-ichi Maruno, Nail Akhmediev
Using a direct ansatz approach, we have found a number of zero-velocity analytic solutons of the complex quintic Swift-Hohenberg equation. These find application in assorted optica…
Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation
Ken-ichi Maruno, Adrian Ankiewicz, Nail Akhmediev
Using Painlevé analysis, the Hirota multi-linear method and a direct ansatz technique, we study analytic solutions of the (1+1)-dimensional complex cubic and quintic Swift-Hohenber…
Multisoliton complexes in a sea of radiation modes
Andrey A. Sukhorukov, Adrian Ankiewicz, Nail N. Akhmediev
We derive exact analytical solutions describing multi-soliton complexes and their interactions on top of a multi-component background in media with self-focusing or self-defocusing…