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arXiv · 2109.06001

Meshy soliton structures for (2+1)-dimensional integrable systems and interactions

Shoufeng Shen·Guofang Wang·Yongyang Jin
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Abstract

In this letter, we construct new meshy soliton structures by using two concrete (2+1)-dimensional integrable systems. The explicit expressions based on corresponding Cole-Hopf type transformations are obtained. Constraint equation ft+\sum_{j=1}^{N} h_j(y)f_{jx} = 0 shows that these meshy soliton structures can be linear or parabolic. Interaction between meshy soliton structure and Lump structure are also revealed.

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Shoufeng Shen, Guofang Wang, Yongyang Jin. 2021-09-13. Meshy soliton structures for (2+1)-dimensional integrable systems and interactions. https://arxiv.org/abs/2109.06001

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