The asymptotic stability of solitons in the cubic NLS equation on the line Journal Articles

abstract

• We use the inverse scattering transform, the auto-Backlund transformation and the steepest descent method of Deift and Zhou to obtain the asymptotic stability of the solitons in the cubic NLS (nonlinear Schrodinger) equation.

authors

• Cuccagna, Scipio
• Pelinovsky, Dmitry E

status

• published 

publication date

• April 2014

has subject area

• 0101 Pure Mathematics (FoR)
• 0103 Numerical and Computational Mathematics (FoR)
• 0913 Mechanical Engineering (FoR)

published in

• Applicable Analysis  Journal

keywords

• 35Q55
• 37K15
• 37K35
• 37K40
• INVERSE SCATTERING
• Mathematics
• Mathematics, Applied
• NLS solitons
• NONLINEAR SCHRODINGER
• Physical Sciences
• Science & Technology
• TIME
• asymptotic stability
• steepest descent method

Digital Object Identifier (DOI)

• 10.1080/00036811.2013.866227

start page

• 791

end page

• 822

volume

• 93

issue

• 4