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Space-Curved Resonant Line Solitons in a Generalized $(2+1)$-Dimensional Fifth-Order KdV System |
| Zequn Qi , Zhao Zhang , and Biao Li* |
| School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China |
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| Cite this article: |
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Zequn Qi , Zhao Zhang , and Biao Li 2021 Chin. Phys. Lett. 38 060501 |
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Abstract On the basis of $N$-soliton solutions, space-curved resonant line solitons are derived via a new constraint proposed here, for a generalized $(2+1)$-dimensional fifth-order KdV system. The dynamic properties of these new resonant line solitons are studied in detail. We then discuss the interaction between a resonance line soliton and a lump wave in greater detail. Our results highlight the distinctions between the generalized $(2+1)$-dimensional fifth-order KdV system and the classical type.
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Received: 27 January 2021
Published: 25 May 2021
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| PACS: |
05.45.Yv
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(Solitons)
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02.30.Ik
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(Integrable systems)
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47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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52.35.Mw
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(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11775121 and 11435005), and the K. C. Wong Magna Fund at Ningbo University. |
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