7 citations · 7 across the 2 of their papers we have counts for
2 papers
math.AP2005
Scattering for the Gross-Pitaevskii equation
S. Gustafson, K. Nakanishi, T. -P. Tsai
We investigate the asymptotic behavior at time infinity of solutions close to a non-zero constant equilibrium for the Gross-Pitaevskii (or Ginzburg-Landau Schroedinger) equation. W…
math-ph2003★ 7 cited
Asymptotic Stability and Completeness in the Energy Space for Nonlinear Schrödinger Equations with Small Solitary Waves
Stephen Gustafson, Kenji Nakanishi, Tai-Peng Tsai
In this paper we study a class of nonlinear Schrödinger equations which admit families of small solitary wave solutions. We consider solutions which are small in the energy space $…