Stability of multi-solitons in the cubic NLS equation Journal Articles

abstract

• We address the stability of multi-solitons for the cubic nonlinear Schrödinger (NLS) equation on the line. By using the dressing transformation and the inverse scattering transform methods, we establish the orbital stability of multi-solitons in the L2(ℝ) space when the initial data is in a weighted L2(ℝ) space.

authors

• Contreras, Andres
• Pelinovsky, Dmitry E

status

• published 

publication date

• June 2014

has subject area

• 0101 Pure Mathematics (FoR)
• Applied Mathematics (Science Metrix)

published in

• Journal of Hyperbolic Differential Equations  Journal

keywords

• ASYMPTOTIC STABILITY
• Cubic nonlinear Schrodinger equation
• Mathematics
• Mathematics, Applied
• Physical Sciences
• Physics
• Physics, Mathematical
• SOLITARY WAVES
• Science & Technology
• dressing transformation
• inverse scattering transform
• multi-soliton
• orbital stability

Digital Object Identifier (DOI)

• 10.1142/s0219891614500106

start page

• 329

end page

• 353

volume

• 11

issue

• 02