On holomorphic solutions of equations of Korteweg–de Vries type

DOI10.1090/S0077-1554-2013-00206-XzbMath1291.35278MaRDI QIDQ2837772

Andrei Domrin

Publication date: 11 July 2013

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

analytic continuationsoliton equationholomorphic solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Analytic continuation of functions of one complex variable (30B40)

Related Items (4)

Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ On solutions to the matrix nonlinear Schrödinger equation ⋮ Holomorphic solutions of soliton equations ⋮ Real-analytic solutions of the nonlinear Schrödinger equation

Cites Work

• The Riemann problem and matrix-valued potentials with a convergent Baker-Akhiezer function
• Local holomorphic Cauchy problem for soliton equations of parabolic type
• Loop groups and equations of KdV type
• Dressing chains and the spectral theory of the Schrödinger operator
• Remarks on the local version of the inverse scattering method
• Factorization and the dressing method for the Gel'fand-Dikii hierarchy
• Meromorphic extension of solutions of soliton equations
• ON GELFAND–DICKEY AND DRINFELD–SOKOLOV SYSTEMS
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