#### Event Title

Nonlinear Schrodinger Equation on a Space Scale

#### Location

203 Main Hall

#### Start Date

24-4-2015 1:45 PM

#### End Date

24-4-2015 2:10 PM

#### Description

It is well-known that solitary waves on shallow water can be modeled by nonlinear KdV and nonlinear Schrodinger (NLS) equations. These equations may be deduced from the operator Lax equation Ablowitz-Kaup-Newel-Segur proposed to use the matrix version of Lax equation to produce solvable nonlinear equation. This presentation gives the extension of the Lax equation on a time-space scale. Using this extension, we deduce NLS on a space scale.

Nonlinear Schrodinger Equation on a Space Scale

203 Main Hall

It is well-known that solitary waves on shallow water can be modeled by nonlinear KdV and nonlinear Schrodinger (NLS) equations. These equations may be deduced from the operator Lax equation Ablowitz-Kaup-Newel-Segur proposed to use the matrix version of Lax equation to produce solvable nonlinear equation. This presentation gives the extension of the Lax equation on a time-space scale. Using this extension, we deduce NLS on a space scale.

## Comments

Anita Mizer is a mathematics major concentrating in actuarial science with a business minor. She is in her senior year and aspires to pursue a field examining casualty insurance. She enjoys time spent with her puppies, Kiddo and Eko, and time spent studying and typing mathematics.