Simple Nonlinear Schrödinger Equation solver in Rust

Objectives of the package

• Learn Rust project management
• Learn the actual language
• Familiarize with the numerics packages

The physical model

In normalized units, the equation we want to solve is

$$u_x = -iu_{tt}+\gamma|u|^2u$$

where we used the notation similar to nonlinear fiber optics: $x$ as space and $t$ as time variables.

Method

We use Split Step Fourier Mehtod (SSFM) with Strang splitting.

Comments

We expect to have an improved reliability development experience with respect to Julia, and a slightly slower development due to absence of dynamic types. GPU support will be also more difficult.