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
1 School of Computer Science, Shaanxi Normal University, Xi'an 710119, China2 Information and Education Technology Center, Xi'an University of Finance and Economics, Xi'an 710062, China3 School of Physical Science and Technology, Ningbo University, Ningbo 315211, China
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.
收稿日期: 2020-06-24
出版日期: 2020-09-29
:
05.45.Yv
(Solitons)
02.30.Ik
(Integrable systems)
52.35.Mw
(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
52.35.Sb
(Solitons; BGK modes)
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2020, Vol. 37 
