6533b82efe1ef96bd1292541

RESEARCH PRODUCT

Determinant representation of NLS equation, Ninth Peregrine breather and multi-rogue waves

Pierre Gaillard

subject

NLS equationWronskianNonlinear Sciences::Exactly Solvable and Integrable Systems[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Fredholm determinantPeregrine breathers[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Riemann theta functionsPeregrine breathers.[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Nonlinear Sciences::Pattern Formation and Solitons

description

This article is a continuation of a recent paper on the solutions of the focusing NLS equation. The representation in terms of a quotient of two determinants gives a very efficient method of determination of famous Peregrine breathers and its deformations. Here we construct Peregrine breathers of order $N=9$ and multi-rogue waves associated by deformation of parameters. The analytical expression corresponding to Peregrine breather is completely given.

yearjournalcountryeditionlanguage
2012-12-08
https://hal.science/hal-00718003v2