6533b7d7fe1ef96bd1267664
RESEARCH PRODUCT
The defocusing NLS equation : quasi-rational and rational solutions
Pierre Gaillardsubject
wronskiansdefocusing NLS equation[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Fredholm determinantsdescription
Quasi-rational solutions to the defocusing nonlinear Schrödinger equation (dNLS) in terms of wronskians and Fredholm determinants of order 2N depending on 2N − 2 real parameters are given. We get families of quasi-rational solutions to the dNLS equation expressed as a quotient of two polynomials of degree N (N + 1) in the variables x and t. We present also rational solutions as a quotient of determinants involving certain particular polynomials.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 |