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Higher-dimensional Chen—Lee—Liu equation and asymmetric peakon soliton |
| Qiao-Hong Han(韩巧红) and Man Jia(贾曼)† |
| School of Physical Science and Technology, Ningbo University, Ningbo 315211, China |
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Abstract Integrable systems play a crucial role in physics and mathematics. In particular, the traditional (1+1)-dimensional and (2+1)-dimensional integrable systems have received significant attention due to the rarity of integrable systems in higher dimensions. Recent studies have shown that abundant higher-dimensional integrable systems can be constructed from (1+1)-dimensional integrable systems by using a deformation algorithm. Here we establish a new (2+1)-dimensional Chen—Lee—Liu (C—L—L) equation using the deformation algorithm from the (1+1)-dimensional C—L—L equation. The new system is integrable with its Lax pair obtained by applying the deformation algorithm to that of the (1+1)-dimension. It is challenging to obtain the exact solutions for the new integrable system because the new system combines both the original C—L—L equation and its reciprocal transformation. The traveling wave solutions are derived in implicit function expression, and some asymmetry peakon solutions are found.
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Received: 20 November 2023
Revised: 15 December 2023
Accepted manuscript online: 22 December 2023
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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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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12275144, 12235007, and 11975131) and K. C. Wong Magna Fund in Ningbo University. The authors acknowledge Professor S. Y. Lou for helpful discussion. |
Corresponding Authors:
Man Jia
E-mail: jiaman@nbu.edu.cn
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Cite this article:
Qiao-Hong Han(韩巧红) and Man Jia(贾曼) Higher-dimensional Chen—Lee—Liu equation and asymmetric peakon soliton 2024 Chin. Phys. B 33 040202
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