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
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.
收稿日期: 2021-01-27
出版日期: 2021-05-25
:
05.45.Yv
(Solitons)
02.30.Ik
(Integrable systems)
47.20.Ky
(Nonlinearity, bifurcation, and symmetry breaking)
52.35.Mw
(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
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2021, Vol. 38 
