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20202026
most citedAnalysis of a Crank-Nicolson finite difference scheme for (2+1)D perturbed nonlinear Schrödinger equations with saturable nonlinearity

8 citations

9 papers

cs.LG2026★ 2 cited

SynRXN: An Open Benchmark and Curated Dataset for Computational Reaction Modeling

Tieu-Long Phan, Nhu-Ngoc Nguyen Song, Peter F. Stadler

We present SynRXN, a unified benchmarking framework and open-data resource for computer-aided synthesis planning (CASP). SynRXN decomposes end-to-end synthesis planning into five t…

cs.CV2025★ 1 cited

MSC: A Marine Wildlife Video Dataset with Grounded Segmentation and Clip-Level Captioning

Quang-Trung Truong, Yuk-Kwan Wong, Vo Hoang Kim Tuyen Dang +3

Marine videos present significant challenges for video understanding due to the dynamics of marine objects and the surrounding environment, camera motion, and the complexity of und…

math.NA2024★ 6 cited

A Finite Difference Scheme for (2+1)D Cubic-Quintic Nonlinear Schrödinger Equations with Nonlinear Damping

Anh Ha Le, Toan T. Huynh, Quan M. Nguyen

Solitons of the purely cubic nonlinear Schrödinger equation in a space dimension of suffer critical and supercritical collapses. These solitons can be stabilized in a cu…

nlin.PS2024★ 2 cited

Highly controllable stabilization and switching of multiple colliding soliton sequences with generic Ginzburg-Landau gain-loss

Avner Peleg, Toan T. Huynh

We investigate propagation of J soliton sequences in a nonlinear optical waveguide array with generic weak Ginzburg-Landau (GL) gain-loss and nearest-neighbor (NN) interaction. The…

math.NA2023★ 8 cited

Analysis of a Crank-Nicolson finite difference scheme for (2+1)D perturbed nonlinear Schrödinger equations with saturable nonlinearity

Anh-Ha Le, Toan T. Huynh, Quan M. Nguyen

We analyze a Crank-Nicolson finite difference discretization for the perturbed (2+1)D nonlinear Schrödinger equation with saturable nonlinearity and a perturbation of cubic loss. W…

nlin.PS2022

Fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2

Avner Peleg, Toan T. Huynh

We investigate the dynamics of fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2. We introduce a two-dimensional pertu…