Superposition formulas for vector generalizations of the mKdV equation

DOI10.1134/S0001434607090180zbMath1156.35456MaRDI QIDQ942068

M. Yu. Balakhnev

Publication date: 3 September 2008

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

modified Korteweg-de Vries equationBäcklund transformationquasilocal variablessuperposition formula

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Vector hyperbolic equations with higher symmetries ⋮ First-order differential substitutions for equations integrable on \(\mathbb S^{n}\) ⋮ Superposition formulas for integrable vector evolution equations ⋮ Superposition formulas for integrable vector evolutionary equations on a Sphere ⋮ Auto-Bäcklund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems

Cites Work

• A class of integrable evolutionary vector equations
• Vector-matrix generalizations of classical integrable equations

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