A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation

zbMath1312.65169arXiv1107.3540MaRDI QIDQ5409299

Odile Bastille, Jason Baggett, Alexei Rybkin

Publication date: 14 April 2014

Full work available at URL: https://arxiv.org/abs/1107.3540

zbMATH Keywords

inverse scattering transformKdV equationHaar waveletspotential fragmentation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Second-order parabolic systems (35K40)

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