Srinivasa, Girish (2025) Vector Solitons and their Interactions Literature Review. Honours thesis, University of Southern Queensland. (Unpublished)
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Abstract
Vector solitary waves, or solitons, of a specific type called helical solitons appear in various models of plasma physics and solids and play an important role in nonlinear wave dynamics. The helical solitons are less studied in contrast to other types (bell-shaped, table-top-shaped solitons, envelope solitons, and kinks). Preliminary investigations show that there are nontrivial interactions of plane solitons differently oriented in space and can be described by vector modified Korteweg–de Vries (vmKdV) equation. Two forms of the vmKdV equations are considered, integrable vmKdV and the non integrable vmKdV. The integrable vmKdV equation has exact analytical solution, non integralable vmKdV equation is analyzed using numerical methods. The structure and interactions of helical solitons with each other will be studied in this project by means of numerical modelling of the governing vmKdV equations. The results obtained will be compared with the analytical solutions of the integrable vmKdV equation.
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| Item Type: | Thesis (Non-Research) (Honours) |
|---|---|
| Item Status: | Live Archive |
| Faculty/School / Institute/Centre: | Current – Faculty of Health, Engineering and Sciences - School of Mathematics, Physics and Computing (1 Jan 2022 -) |
| Supervisors: | Stepanyants, Yury |
| Qualification: | Bachelor of Science (Honours) |
| Date Deposited: | 06 Jan 2026 23:43 |
| Last Modified: | 06 Jan 2026 23:43 |
| URI: | https://sear.unisq.edu.au/id/eprint/53068 |
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