Lugiato-Lefever Equation Solver

Coupled Generalized Nonlinear Schrodringer Equation solver for birefringent fibers

PQS Research Project

Physics research from my graduate studies at UCLA

Solving dark matter solitons in an automated way.

Solving KdV equation with finite difference optimized compact scheme for first- and third-derivatives

Fast and accurate 1D NLSE solver using pseudo-spectral methods. Simulates solitons, breathers, and nonlinear wave phenomena with adaptive time-stepping and conservation law monitoring.

ソリトン波

A solution, written in C, to Korteweg de Vries using the fourth order Runge-Kutta method and finite differences.

This repository contains the Mathematica files of arXiv:1901.06659

Idealized Korteweg-de Vries (KdV) soliton solver with pseudo-spectral methods and Numba acceleration.

Iterative solvers for solitary wave solutions of nonlinear Schrödinger-type equations

Code to compare analytical vs experimental soliton speeds

Supplementary data analysis scripts for the sangkuriang KdV soliton solver, including conservation validation, spectral analysis, and recurrence quantification.

Python scripts for statistical analysis and visualization of nonlinear Klein-Gordon equation solutions generated by the amangkurat solver, including entropy metrics, spatiotemporal evolution plots, and phase space analysis.

Repository for my bachelor thesis and consecutive research on the soliton automata model.

ME 69700 – Nonlinear Wave Mechanics

Symplectic pseudo-spectral solver for (1+1)D nonlinear Klein-Gordon equation with topological solitons, breathers, and Numba acceleration.

Ultronic Medium Hypothesis: Simulations unifying gauge theory, GR, and cosmology