Twenty Two Parameter Deformations of the Twelfth Peregrine Breather Solutions to the NLS Equation
Pierre Gaillard, Mickael Gastineau
Advances in Research · pp. 1–11 · Published 26 Apr 2016
10.9734/AIR/2016/25636Abstract
The twelfth Peregrine breather (P12 breather) solution to the focusing one dimensional nonlinear Schr¨odinger equation (NLS) with its twenty two real parameters deformations solutions to the NLS equation are explicitly constructed here. New families of quasi-rational solutions of the NLS equation in terms of explicit quotients of polynomials of degree 156 in x and t by a product of an exponential depending on t are obtained. The patterns of the modulus of these solutions in the (x; t) plane, in function of the different parameters are studied in details.
Cited by 0
No indexed citations yet.
Related research
- Multi-parametric Deformations of Peregrine Breathers Solutions to the NLS Equation — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
0
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.