Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results
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Publication:5964460
DOI10.1016/j.physleta.2013.12.029zbMath1331.35312arXiv1305.5816OpenAlexW2099939434MaRDI QIDQ5964460
Bernard Deconinck, Thomas Trogdon
Publication date: 29 February 2016
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.5816
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Cites Work
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- Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions
- A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution
- Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations
- A general framework for solving Riemann-Hilbert problems numerically
- Numerical solution of Riemann-Hilbert problems: Painlevé II
- A dressing method in mathematical physics.
- Hyperelliptic theta-functions and spectral methods: KdV and KP solutions
- The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions
- Method for Solving the Korteweg-deVries Equation
- A Unified Approach to Boundary Value Problems
- On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations
- Hill’s surfaces and their theta functions
- Periodic solutions of the KdV equation
- The Korteweg-de Vries equation and water waves. Part 2. Comparison with experiments
- The Korteweg-de Vries equation and water waves. Part 3. Oscillatory waves
- Computing Riemann theta functions
- Numerical inverse scattering for the focusing and defocusing nonlinear Schrödinger equations
- The Korteweg-de Vries equation and water waves. Solutions of the equation. Part 1