Two-component nonlinear wave solutions of the sixth-order generalised Boussinesq-type equations
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909524865056768 |
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| author | Adamashvili, G. T. |
| author_facet | Adamashvili, G. T. |
| contents | Two different versions of cubic sixth-order generalised Boussinesq-type wave equations are considered in this study. A generalised perturbation reduction method is used to solve these equations, which allows the reduction of considered equations to coupled nonlinear Schrodinger equations. Two-component nonlinear wave solutions are obtained. The profiles and parameters of these solutions for both nonlinear equations are presented and compared. These solutions coincide with the vector 0 πpulse of self-induced transparency, which was previously studied in several known nonlinear wave equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02576 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-component nonlinear wave solutions of the sixth-order generalised Boussinesq-type equations Adamashvili, G. T. Exactly Solvable and Integrable Systems Mesoscale and Nanoscale Physics Pattern Formation and Solitons Two different versions of cubic sixth-order generalised Boussinesq-type wave equations are considered in this study. A generalised perturbation reduction method is used to solve these equations, which allows the reduction of considered equations to coupled nonlinear Schrodinger equations. Two-component nonlinear wave solutions are obtained. The profiles and parameters of these solutions for both nonlinear equations are presented and compared. These solutions coincide with the vector 0 πpulse of self-induced transparency, which was previously studied in several known nonlinear wave equations. |
| title | Two-component nonlinear wave solutions of the sixth-order generalised Boussinesq-type equations |
| topic | Exactly Solvable and Integrable Systems Mesoscale and Nanoscale Physics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2503.02576 |