6533b827fe1ef96bd1286235
RESEARCH PRODUCT
An attempt to classification of the quasi rational solutions to the NLS equation
Pierre Gaillardsubject
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph][ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph][MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]37K10 33Q55 4710A- 4735Fg 4754Bddescription
Based on a representation in terms of determinants of order 2N , an attempt to classification of quasi rational solutions to the one dimensional focusing nonlinear Schrödinger equation (NLS) is given and several conjectures about the structure of the solutions are also formulated. These solutions 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 depending on 2N −2 parameters. It is remarkable to mention that in this representation, when all parameters are equal to 0, we recover the PN breathers.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-12-12 |