Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I

DOI10.1007/BF01076381zbMath0404.35082MaRDI QIDQ1256658

I. M. Krichever, S. P. Novikov

Publication date: 1979

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

zbMATH Keywords

Korteweg-de Vries equationKadomtsev-Petviashvili equationholomorphic bundlesLax commutator

Mathematics Subject Classification ID

Related Items (8)

Multiparametric families of solutions of the Kadomtsev-Petviashvili-I equation, the structure of their rational representations, and multi-rogue waves ⋮ Commuting pairs of linear ordinary differential operators of orders four and six ⋮ Matrix divisors on Riemann surfaces and Lax operator algebras ⋮ Rational \(KP\) and \(mKP\)-solutions in Wronskian form ⋮ Unnamed Item ⋮ On factorized Lax pairs for classical many-body integrable systems ⋮ Self-adjoint commuting ordinary differential operators ⋮ Two-dimensional periodic permanent waves in shallow water

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Commutative rings of ordinary linear differential operators
• Classification of vector bundles over an algebraic curve of arbitrary genus
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