SNAKING PHENOMENON ON CAVITY SOLITON

• Main Author: Antonius, Enrico
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/66230
• Institution: Institut Teknologi Bandung

This final project is learned about snaking phenomenon on cavity soliton. This final project will use some subject from 3rd semester until 8th semester, Simulation and Mathematical Computation, Introduction of Differential Equation, Partial Differential Equation and Introduction to Dynamic System. For search the snaking, this final project will use Newton Raphson method, Ordinary Differential Equation and Numerical Continuation. With Ordinary Differential Equation, we will search equilibrium point to get linear stability. The, we will use uniform solution and localized solution, also called as snaking. In this final project, we also discuss about pinning region, the region which will shown periodic solution. The result we get is snaking will show when ???? is bigger than or equal than 0.5, also on unlimited value of ????, there won’t show snaking because the solution will merge in continuum limit value