activity
20122026
most citedOn fractional Schrodinger systems of Choquard type

63 citations · 117 across the 8 of their papers we have counts for

collaborators

10 papers

cs.GR2026

Photons x Force: Differentiable Radiation Pressure Modeling

Charles Constant, Elizabeth Bates, Santosh Bhattarai +2

We propose a system to optimize parametric designs subject to radiation pressure, \ie the effect of light on the motion of objects. This is most relevant in the design of spacecraf…

physics.space-ph2024

Evaluating Near-Real Time Thermospheric Density Retrieval Methods from Precise Low Earth Orbit Spacecraft Ephemerides During Geomagnetic Storms

Charles Constant, Santosh Bhattarai, Indigo Brownhall +2

Characterizing the density of the thermosphere during geomagnetic storms is critical for both thermosphere modelling efforts and satellite operations. Accurate near-real time densi…

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★ 63 cited

On fractional Schrodinger systems of Choquard type

Santosh Bhattarai

In this article, we first employ the concentration compactness techniques to prove existence and stability results of standing waves for nonlinear fractional Schrödinger-Choquard e…

math.AP2016★ 4 cited

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…

math.AP2015

Well-posedness for multicomponent Schrodinger-gKdV systems and stability of solitary waves with prescribed mass

Santosh Bhattarai, Adan J. Corcho, Mahendra Panthee

In this paper we prove the well-posedness issues of the associated initial value problem, the existence of nontrivial solutions with prescribed -norm, and the stability of ass…

math.AP2015★ 20 cited

Stability of normalized solitary waves for three coupled nonlinear Schrodinger equations

Santosh Bhattarai

In this paper we establish existence and stability results concerning fully nontrivial solitary-wave solutions to 3-coupled nonlinear Schrödinger system \[ i\partial_t u_{j}+\parti…

math.AP2015★ 1 cited

Existence and positivity properties of solitary waves for a multicomponent long wave-short wave interaction system

Santosh Bhattarai

We study the existence of solitary-wave solutions and some of their properties for a general multicomponent long-wave-short-wave interaction system. The system considered here desc…

math.AP2014★ 24 cited

Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities

Santosh Bhattarai

This paper proves existence and stability results of solitary-wave solutions to coupled nonlinear Schrödinger equations with power-type nonlinearities arising in several models of…

math.AP2012

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…