solitons

Lugiato-Lefever Equation Solver

Coupled Generalized Nonlinear Schrodringer Equation solver for birefringent fibers

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

Physics research from my graduate studies at UCLA

PQS Research Project

ME 69700 – Nonlinear Wave Mechanics

Official code for "Robust Physics Discovery from Highly Corrupted Data: A PINN Framework Applied to the Nonlinear Schrödinger Equation

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

Formalised mathematics in Lean 4.

Solving dark matter solitons in an automated way.

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

ソリトン波

NLS/Gross–Pitaevskii on a lumpy torus — a spectral-geometry solver and a gallery of numerical experiments (solitons, collapse control, analog gravity/cosmology, quantum chaos, topological & Floquet transport), packaged as an MCP toolkit for numerically-grounded agent inference.

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

Code to compare analytical vs experimental soliton speeds

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.

This repository contains the Mathematica files of arXiv:1901.06659

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

Solving KdV and KP using PINNs: Summer 26' Undergraduate Research Internship - original code credited to Karnav Raval [MSc Physics UWO]