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arxiv: 2301.06144 · v1 · pith:3LCVHS6Hnew · submitted 2023-01-15 · 🌊 nlin.PS

Solitary waves and their interactions in the cylindrical Korteweg-de Vries equation

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keywords solitarywavescylindricaldifferentequationkorteweg-detypesvries
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We consider approximate, exact, and numerical solutions to the cylindrical Korteweg-de Vries equation. We show that there are different types of solitary waves and obtain the dependence of their parameters on distance. Then, we study the interaction of solitary waves of different types.

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