5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.AP2019★ 5 cited
Existence and stability of standing waves for coupled nonlinear Hartree type equations
Santosh Bhattarai
We study existence and stability of standing waves for coupled nonlinear Hartree type equations \[ -i\frac{\partial}{\partial t}ψ_j=Δψ_j+\sum_{k=1}^m \left(W\star |ψ_k|^p \right)|ψ…
math.AP2016
Existence and stability of standing waves for nonlinear Schrodinger systems involving the fractional Laplacian
Santosh Bhattarai
In the present paper we consider the coupled system of nonlinear Schrödinger equations with the fractional Laplacian \[ \left\{ \begin{aligned} (-Δ)^αu_1 & = λ_1u_1+f_1(u_1)+\parti…