Soliton solution and asymptotic analysis of the three-component Hirota–Satsuma coupled KdV equation

Ling-Ling Zhang and Xin Wang

Physica A: Statistical Mechanics and its Applications, 2023, vol. 612, issue C

Abstract: In this paper, we study a class of Hirota–Satsuma coupled KdV equations that can be used to describe the interaction of two classes of long waves. By using the Hirota bilinear method, the 1, 2, 3-soliton solutions are obtained. On this basis, the asymptotic analysis of soliton solutions proves that the collisions between solitons are elastic, and a set of visual figure is given to illustrate the results.

Keywords: Hirota–Satsuma equation; Soliton solutions; Hirota bilinear method; Asymptotic analysis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:612:y:2023:i:c:s0378437123000365

DOI: 10.1016/j.physa.2023.128481

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