Self-similar solutions of equations of Korteweg-deVries type

DOI10.1007/BF01086193zbMath0454.35078OpenAlexW2054537745MaRDI QIDQ1149574

I. M. Krichever

Publication date: 1981

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086193

zbMATH Keywords

self-similar solutionsKorteweg-deVries type

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (16)

Elliptic solutions of nonlinear integrable equations and related topics ⋮ New elliptic potentials ⋮ On the geometry of elliptic solitons ⋮ Reduction of theta functions and elliptic finite-gap potentials ⋮ On the two-gap elliptic potentials ⋮ Finite-gap elliptic solutions of the KdV equation ⋮ Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle ⋮ Invariants of linear combinations of transpositions ⋮ Towards the proof of complete integrability of quantum elliptic many-body systems with spin degrees of freedom ⋮ Nonlinear evolution equations and hyperelliptic covers of elliptic curves ⋮ The Stäckel systems and algebraic curves ⋮ On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model ⋮ Lax representation with spectral parameter on a torus for integrable particle systems ⋮ Green's Function Method for Periodic Traveling Wave Solutions of the KdV Equation ⋮ Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero–Moser model ⋮ How Calogero–Moser particles can stick together

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