NLS equation wronskians Peregrine breather rogue waves

作     者：Pierre Gaillard Mickaёl Gastineau 

作者机构：Institut de Math6matiques de Bourgogne 9 Av. Alain Savary BP 47870 21078 DIJON Cedex France ASD IMCCE-CNRS UMR8028 Observatoire de Paris UPMC 77 Av. Denfert-Rochereau Paris 75014 France 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2016年第65卷第2期

页      面：136-144页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

主　　题：Twenty Parameters Families of Solutions to the NLS Equation and the Eleventh Peregrine Breather 

摘      要：The Peregrine breather of order eleven（P_（11） breather） solution to the focusing one-dimensional nonlinear Schrdinger equation（NLS） is explicitly constructed here. Deformations of the Peregrine breather of order 11 with 20 real parameters solutions to the NLS equation are also given： when all parameters are equal to 0 we recover the famous P_（11） breather. We obtain new families of quasi-rational solutions to the NLS equation in terms of explicit quotients of polynomials of degree 132 in x and t by a product of an exponential depending on t. We study these solutions by giving patterns of their modulus in the（x; t） plane, in function of the different parameters.