6533b851fe1ef96bd12a9a2a
RESEARCH PRODUCT
Wronskian representation of solutions of NLS equation, and seventh order rogue wave.
Pierre Gaillardsubject
WronskianBreather[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Fredholm determinant01 natural sciences010305 fluids & plasmassymbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable Systems[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]0103 physical sciencessymbolsOrder (group theory)Limit (mathematics)[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Rogue wave010306 general physicsRepresentation (mathematics)Nonlinear Schrödinger equationNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematical physicsdescription
This work is a continuation of a recent paper in which we have constructed a multi-parametric family of the nonlinear Schrodinger equation in terms of wronskians. When we perform a special passage to the limit, we get a family of quasi-rational solutions expressed as a ratio of two determinants. We have already construct Peregrine breathers of orders N=4, 5, 6 in preceding works; we give here the Peregrine breather of order seven.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-09-16 |