Note on Asymptotic Solutions of the Korteweg-de Vries Equation with Solitons

DOI10.1002/sapm1982662159zbMath0487.35080OpenAlexW192057026MaRDI QIDQ3948061

Mark J. Ablowitz, Yuji Kodama

Publication date: 1982

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1982662159

zbMATH Keywords

inverse scattering transformsolitonsKorteweg-de Vries equationphase shiftdispersive wavetrain

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (8)

The asymptotic behavior of solutions of the Korteweg-de Vries equation evolving from very irregular data ⋮ Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform ⋮ Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues ⋮ Normal Form and Solitons ⋮ An accurate \(\mathcal{O}(N^2)\) floating point algorithm for the Crum transform of the KdV equation ⋮ Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves ⋮ On the structure of the two-soliton interaction for the Korteweg-de Vries equation ⋮ Asymptotic behaviour of solutions of the Korteweg-de Vries equation

Cites Work

• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Asymptotic Solutions of the Korteweg-deVries Equation
• The Korteweg-de Vries equation and water waves. Solutions of the equation. Part 1

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