6533b7dcfe1ef96bd127206a
RESEARCH PRODUCT
Two-parameter determinant representation of seventh order rogue wave solutions of the NLS equation
Pierre Gaillardsubject
PhysicsTwo parameterPhysics and Astronomy (miscellaneous)Breathersymbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable SystemssymbolsOrder (group theory)Peregrine solitonRogue waveRepresentation (mathematics)Nonlinear Schrödinger equationNonlinear Sciences::Pattern Formation and SolitonsQuotientMathematical physicsdescription
We present a new representation of solutions of focusing nonlinear Schrodinger equation (NLS) equation as a quotient of two determinants. We construct families of quasi-rational solutions of the NLS equation depending on two parameters, a and b. We construct, for the first time, analytical expressions of Peregrine breather of order 7 and multi-rogue waves by deformation of parameters. These expressions make possible to understand the behavior of the solutions. In the case of the Peregrine breather of order 7, it is shown for great values of parameters a or b the appearance of the Peregrine breather of order 5. 35Q55; 37K10
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | Journal of Theoretical and Applied Physics |