1 citations · 1 across the 3 of their papers we have counts for
5 papers
Total positivity and spectral properties of linearized operators
John Albert, Steven Levandosky
For a class of semilinear elliptic equations, we establish criteria that guarantee that the linearized operator associated with a solution satisfies certain spectral assumptions th…
Stability of bound states for regularized nonlinear Schrödinger equations
John Albert, Jack Arbunich
We consider the stability of bound-state solutions of a family of regularized nonlinear Schrödinger equations which were introduced by Dumas, Lannes and Szeftel as models for the p…
A variational characterization of 2-soliton profiles for the KdV equation
John P. Albert, Nghiem V. Nguyen
We use profile decomposition to characterize 2-soliton solutions of the KdV equation as global minimizers to a constrained variational problem involving three of the polynomial con…
A uniqueness result for 2-soliton solutions of the KdV equation
John P. Albert, Nghiem V. Nguyen
Multisoliton solutions of the KdV equation satisfy nonlinear ordinary differential equations which are known as stationary equations for the KdV hierarchy, or sometimes as Lax-Novi…
Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
John Albert, Santosh Bhattarai
We prove existence and stability results for a two-parameter family of solitary-wave solutions to a system in which an equation of nonlinear Schrödinger type is coupled to an equat…