High-order semi-rational solutions for the coherently coupled nonlinear Schrödinger equations with the positive coherent coupling
A coherently coupled nonlinear Schrödinger system with the positive coherent coupling is studied in this paper, and high-order semi-rational solutions are derived by the generalized Darboux transformation. Dynamic of the second-order semi-rational solutions is found to be of three types: collisions...
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| Published in: | Applied mathematics letters 2020-07, Vol.105, p.106343, Article 106343 |
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| Main Author: | |
| Format: | Article |
| Language: | eng |
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| Online Access: | Get full text |
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| Summary: | A coherently coupled nonlinear Schrödinger system with the positive coherent coupling is studied in this paper, and high-order semi-rational solutions are derived by the generalized Darboux transformation. Dynamic of the second-order semi-rational solutions is found to be of three types: collisions between the one-hump soliton and breather (double-hump rogue waves), collisions between the double-hump soliton and breather (double-hump rogue waves), and bound states of the one-hump solitons or double-hump solitons. Furthermore, for the third-order semi-rational solutions, three double-hump solitons and three one-hump solitons are found to be attracted and repulsed with each other periodically. |
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| ISSN: | 0893-9659 1873-5452 |