Multisoliton pulse breakup in WKB approximation

被引：4

作者：

Korneev, N. ^{[1
]}

Catana Castellanos, J. A. ^{[1
]}

Vysloukh, V. A. ^{[2
]}

机构：

[1] INAOE, Luis Enrique Erro 1, Puebla 72840, Mexico

[2] Univ Americas Puebla, Catarina Martir S-N, Cholula 72810, Mexico

来源：

OPTIK | 2020年 / 207卷

关键词：

Zakharov-Shabat; WKB; Multisoliton; Pulse breakup; SEMICLASSICAL SOLITON ENSEMBLE;

D O I：

10.1016/j.ijleo.2020.164359

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The application of the Wentzel-Kramers-Brillouin (WKB) method for Zakharov-Shabat scattering problem with high-amplitude smooth pulses is discussed. For pulses with limited phase variation, the eigenvalue spectrum for high pulse amplitude A lies on a curve in the complex plane to the order of A(-1). The eigenvalues here can be accurately estimated using integrals on a real interval, similar to quantum mechanics. For pulses with big phase variation, such features as symmetry breaking can be studied with more involved complex WKB approach. Comparison with numerical and analytical results is reported.

引用

页数：10

共 22 条

[1]

Ablowitz M.J., 1981, SOLITONS INVERSE SCA

[2] Stimulated decay of N-soliton pulses and optimal separation of one-soliton components [J].