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Breather-to-soliton transitions and nonlinear wave interactions for higher-order generalized Gerdjikov-Ivanov equation |
| Yanan Wang(王亚男)1 and Minghe Zhang(张明赫)2,‡ |
1 School of Mathematical Science, Beihang University, Beijing 102206, China;
2 School of Mathematical Science, Harbin Engineering University, Harbin 150001, China |
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Abstract We systematically investigate the intricate dynamics of the breather-to-soliton transitions and nonlinear wave interactions for the higher-order generalized Gerdjikov-Ivanov equation. The transition conditions of the breather-to-soliton are established and the novel nonlinear converted waves, including the W-shaped soliton, multi-peak soliton, anti-dark soliton and periodic wave solution are discussed. Meanwhile, the interactions among the above nonlinear converted waves are explored by choosing appropriate parameters. Furthermore, we derive the double-pole solutions exhibiting breather-to-soliton transitions and employ the asymptotic analysis method to analyze the dynamics of the asymptotic solitons for the doublepole anti-dark soliton. This work deepens the fundamental understanding of nonlinear wave metamorphosis induced by higher-order terms in integrable systems.
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Received: 15 August 2025
Revised: 09 October 2025
Accepted manuscript online: 22 October 2025
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PACS:
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02.30.Ik
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(Integrable systems)
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02.30.Jr
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(Partial differential equations)
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05.45.Yv
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(Solitons)
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| Fund: The authors thanks Prof. Q. P. Liu for helpful and enlightening suggestions. Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 3072025CFJ2405). |
Cite this article:
Yanan Wang(王亚男) and Minghe Zhang(张明赫) Breather-to-soliton transitions and nonlinear wave interactions for higher-order generalized Gerdjikov-Ivanov equation 2026 Chin. Phys. B 35 080202
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