Integrable and nonintegrable cases of the Lax equations with a source

DOI10.1007/BF01017060zbMath0850.35100OpenAlexW1968517562MaRDI QIDQ1918850

V. K. Mel'nikov

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017060

zbMATH Keywords

Cauchy problemLax equationsgenerating operatorevolution equations for the scattering dataKorteweg-de Vries equation with a source

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

Some new soliton equations with self-consistent sources ⋮ A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions

Cites Work

• Integration of the Korteweg-de Vries equation with a source
• Creation and annihilation of solitons in the system described by the Korteweg-de Vries equation with a self-consistent source

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