4 papers
Orthogonalization and polarization of Yangians
Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov +1
For every family of orthogonal polynomials, we define a new realization of the Yangian of . Except in the case of Dickson polynomials, the new realizations do no…
Uniqueness and stability of normalized ground states for Hartree equation with a harmonic potential
Yi Jiang, Chenglin Wang, Yibin Xiao +2
The dynamic properties of normalized ground states for the Hartree equation with a harmonic potential are addressed. The existence of normalized ground state for any prescribed mas…
Sharp Stability of Solitons for the Cubic-Quintic NLS on R^2
Yi Jiang, Chenglin Wang, Yibin Xiao +2
This paper concerns with the cubic-quintic nonlinear Schrödinger equation on R^2. A family of new variational problems related to the solitons are introduced and solved. Some key…
Monotonicity Conjectures and Sharp Stability for Solitons of the Cubic-Quintic NLS on R^3
Jian Zhang, Chenglin Wang, Shihui Zhu
This paper deals with the cubic-quintic nonlinear Schrödinger equation on R^3. Two monotonicity conjectures for solitons posed by Killip, Oh, Pocovnicu and Visan are completely re…