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Abundant Traveling Wave Structures of (1+1)-Dimensional Sawada–Kotera Equation: Few Cycle Solitons and Soliton Molecules |
| Wei Wang1,2, Ruoxia Yao1*, and Senyue Lou3 |
1School of Computer Science, Shaanxi Normal University, Xi'an 710119, China
2Information and Education Technology Center, Xi'an University of Finance and Economics, Xi'an 710062, China
3School of Physical Science and Technology, Ningbo University, Ningbo 315211, China
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| Cite this article: |
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Wei Wang, Ruoxia Yao, and Senyue Lou 2020 Chin. Phys. Lett. 37 100501 |
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Abstract Traveling wave solutions have been well studied for various nonlinear systems. However, for high order nonlinear physical models, there still exist various open problems. Here, travelling wave solutions to the well-known fifth-order nonlinear physical model, the Sawada–Kotera equation, are revisited. Abundant travelling wave structures including soliton molecules, soliton lattice, kink-antikink molecules, peak-plateau soliton molecules, few-cycle-pulse solitons, double-peaked and triple-peaked solitons are unearthed.
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Received: 24 June 2020
Published: 29 September 2020
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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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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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52.35.Sb
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(Solitons; BGK modes)
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11975131, 11435005 and 11471004), and K. C. Wong Magna Fund in Ningbo University. |
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