Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik

DOI10.1016/j.physd.2023.133909zbMath1527.35341arXiv2309.02925MaRDI QIDQ6090654

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Publication date: 17 November 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.02925

zbMATH Keywords

asymptoticselliptic integralsKorteweg-de Vriesautomatic proofs

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for linear first-order PDEs (35F10) Elliptic functions and integrals (33E05) Soliton solutions (35C08) Self-similar solutions to PDEs (35C06)

Cites Work

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• The method of differentiating under the integral sign
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• A steepest descent method for oscillatory Riemann-Hilbert problems
• Asymptotic Solutions of the Korteweg-deVries Equation
• The collisionless shock region for the long‐time behavior of solutions of the KdV equation
• Method for Solving the Korteweg-deVries Equation
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals
• Creative Telescoping for Holonomic Functions
• Integrals of nonlinear equations of evolution and solitary waves

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