Event Title

Gordon Type Nonlinear Equations on Time-space Scale

Presenter Information

Zijing Zhang, Kent State University

Location

213 Main Hall

Start Date

29-4-2016 3:45 PM

End Date

29-4-2016 4:10 PM

Description

Sine-Gordon Equation was originally introduced by Edmond Bour (1862) in the course of study of surfaces. This equation attracted a lot of attention in the 1970s due to the presence of soliton solutions. In this presentation, Gordon type nonlinear equations are deducted from the well-known Lax Equations using the AKNS (Ablowitz, Kaup, Newell, Segur) method. Further, solutions of these equations are provided with wave visualization using Mathematica.

Comments

Zijing Zhang is a senior at Kent State University. He is pursuing a bachelor’s degree in computer science and working on his start-up. After graduation , he plans to attend graduate school to obtain a Ph.D concentrating on artificial intelligence. He enjoys learning languages and playing soccer.

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Apr 29th, 3:45 PM Apr 29th, 4:10 PM

Gordon Type Nonlinear Equations on Time-space Scale

213 Main Hall

Sine-Gordon Equation was originally introduced by Edmond Bour (1862) in the course of study of surfaces. This equation attracted a lot of attention in the 1970s due to the presence of soliton solutions. In this presentation, Gordon type nonlinear equations are deducted from the well-known Lax Equations using the AKNS (Ablowitz, Kaup, Newell, Segur) method. Further, solutions of these equations are provided with wave visualization using Mathematica.