Connections defining representations of zero curvature and the solitons of sine-Gordon and Korteweg-de Vries equations

DOI10.1134/S1061920811020087zbMath1251.35136OpenAlexW1974229959MaRDI QIDQ455581

A. K. Rybnikov

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920811020087

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (2)

Connections defining representations of zero curvature and their Lax and Bäcklund mappings ⋮ Connections of zero curvature and applications to nonlinear partial differential equations

Cites Work

• Theory of connections, Cole-Hopf transformations and potentials of second-order partial differential equations
• Differential-geometric structures on manifolds
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
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