Space-Curved Resonant Line Solitons in a Generalized (2+1)-Dimensional Fifth-Order KdV System

Zequn Qi; Zhao Zhang; Biao Li

doi:10.1088/0256-307X/38/6/060501

Space-Curved Resonant Line Solitons in a Generalized $(2+1)$ -Dimensional Fifth-Order KdV System

School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China

Funds: 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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Received Date: January 26, 2021

Published Date: May 31, 2021

Abstract

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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Space-Curved Resonant Line Solitons in a Generalized $(2+1)$ -Dimensional Fifth-Order KdV System

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Space-Curved Resonant Line Solitons in a Generalized (2+1)(2+1)-Dimensional Fifth-Order KdV System

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Space-Curved Resonant Line Solitons in a Generalized $(2+1)$ -Dimensional Fifth-Order KdV System