Higher order Peregrine breathers solutions to the NLS equation
| Affiliation auteurs | Affiliation ok |
| Titre | Higher order Peregrine breathers solutions to the NLS equation |
| Type de publication | Conference Paper |
| Year of Publication | 2015 |
| Auteurs | Gaillard P |
| Editor | Vagenas EC, Vlachos DS, Suraud E, Solov'yov AV, De Padova IP, Le Lay G, Varga K |
| Conference Name | 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES (IC-MSQUARE2015) |
| Publisher | IOP PUBLISHING LTD |
| Conference Location | DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND |
| Résumé | {The solutions to the one dimensional focusing nonlinear Schrodinger equation (NLS) can be written as a product of an exponential depending on t by a quotient of two polynomials of degree N(N + 1) in x and t. These solutions depend on 2N - 2 parameters : when all these parameters are equal to 0, we obtain the famous Peregrine breathers which we call P-N breathers. Between all quasi-rational solutions of rank N fixed by the condition that its absolute value tends to 1 at infinity and its highest maximum is located at point (x = 0 |
| DOI | 10.1088/1742-6596/633/1/012106 |