Scholars@Duke

Smooth parametric dependence of asymptotics of the semiclassical focusing NLS

Publication ,  Journal Article
Belov, S; Venakides, S
Published in: Analysis and PDE
January 1, 2015
Published version (DOI)

We consider the one-dimensional focusing (cubic) nonlinear Schrödinger equation (NLS) in the semiclassical limit with exponentially decaying complex-valued initial data, whose phase is multiplied by a real parameter. We prove smooth dependence of the asymptotic solution on the parameter. Numerical results supporting our estimates of important quantities are presented.

Duke Scholars

Stephanos Venakides
Author Stephanos Venakides Mathematics
Altmetric Attention Stats
Dimensions Citation Stats

Published In

Analysis and PDE

DOI

10.2140/apde.2015.8.257

EISSN

1948-206X

ISSN

2157-5045

Publication Date

January 1, 2015

Volume

8

Issue

2

Start / End Page

257 / 288

Related Subject Headings

  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Belov, S., & Venakides, S. (2015). Smooth parametric dependence of asymptotics of the semiclassical focusing NLS. Analysis and PDE, 8(2), 257–288. https://doi.org/10.2140/apde.2015.8.257
Belov, S., and S. Venakides. “Smooth parametric dependence of asymptotics of the semiclassical focusing NLS.” Analysis and PDE 8, no. 2 (January 1, 2015): 257–88. https://doi.org/10.2140/apde.2015.8.257.
Belov S, Venakides S. Smooth parametric dependence of asymptotics of the semiclassical focusing NLS. Analysis and PDE. 2015 Jan 1;8(2):257–88.
Belov, S., and S. Venakides. “Smooth parametric dependence of asymptotics of the semiclassical focusing NLS.” Analysis and PDE, vol. 8, no. 2, Jan. 2015, pp. 257–88. Scopus, doi:10.2140/apde.2015.8.257.
Belov S, Venakides S. Smooth parametric dependence of asymptotics of the semiclassical focusing NLS. Analysis and PDE. 2015 Jan 1;8(2):257–288.

Published In

Analysis and PDE

DOI

10.2140/apde.2015.8.257

EISSN

1948-206X

ISSN

2157-5045

Publication Date

January 1, 2015

Volume

8

Issue

2

Start / End Page

257 / 288

Related Subject Headings

  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics