On connection between the splitting parameters of KdV initial datum and its conserved quantities

DOI10.1134/S1995080220120318zbMath1458.35379arXiv2003.14041OpenAlexW3128768858MaRDI QIDQ2225834

Alexey V. Samokhin

Publication date: 11 February 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.14041

zbMATH Keywords

solitonasymptoticinitial datum splitting

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton solutions (35C08)

Related Items (1)

The KdV soliton crosses a dissipative and dispersive border

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Cites Work

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• Periodic boundary conditions for KdV-Burgers equation on an interval
• Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
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• On nonlinear superposition of the KdV-Burgers shock waves and the behavior of solitons in a layered medium
• Soliton splitting in quenched classical integrable systems
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

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