Nonlinear Schrodinger Equation on a Space Scale
Author(s)
Abstract

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.
Format
Conference Proceeding
Publication Date
2015-04-24
Subject
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.
Permalink https://oaks.kent.edu/starkstudentconference/2015/Program/20
Mizer, A. (2015). Nonlinear Schrodinger Equation on a Space Scale. https://oaks.kent.edu/node/4814
Mizer, Anita. 2015. “Nonlinear Schrodinger Equation on a Space Scale”. https://oaks.kent.edu/node/4814.
Mizer, A. Nonlinear Schrodinger Equation on a Space Scale. 24 Apr. 2015, https://oaks.kent.edu/node/4814.